Dr. REDDY Y N

Professor

Department of Mathematics

National Institute of Technology, Warangal - 506004, Telangana, INDIA

: ynreddy@nitw.ac.in

: 8332969447, 9849268724

Interests: Numerical Analysis

Date of Birth                                                         :         9 -10 -1958

Native place                                                          :         Nalgonda,T elangana

Religion                                                                    :         Hindu

Marital status                                                       :         Married

Message: Help the needy people

Academic Qualifications:                  

Degree

Institute

Year

% and Division

 Ph.D.  (Mathematics)

 I. I. T., Kanpur

 1986

 

 M. Sc.  (Applied Mathematics)

 N.I.T. (REC), Warangal

 1982

76% FIRST

 B. Sc. (M. P. C.)

 O. U., Hyderabad

1980

70% FIRST

 

Teaching Experience:   30 years

Designation

Institute

Period

Professor

N.I.T., Warangal

1-4-2003 onwards

Asst. Professor

N.I.T., Warangal

18-3-1993 to 31-3-2003

Lecturer

N.I.T., Warangal

1-7-1992 to 17-03-1993

Lecturer

V.N.I.T., Nagpur

2-1-1989 to 30-06-1992

Asst Lecturer

B.I.T.S., Pilani

7-7-1986 to 31-12-1988

 Journal Publication Details

  1. with MKK: The Method of Inner Boundary Condition: A new approach for Solving Singular Perturbation Problems, Journal of Computational Physics, 62(1986)349-360
  2. with MKK: Numerical Integration of a class Singular Perturbation Problems, Journal of Optimization Theory and Applications, 51(1986)441-452
  3. with MKK: A Computational Method for Solving Singular Perturbation Problems using Fourth Order Finite Differences, Communications in Applied Numerical Methods, 2(1986)609-616
  4. with MKK: Numerical Solution of Singular Perturbation Problems by Terminal Boundary Value Technique, Journal of Optimization Theory and Applications, 52(1986)243-254
  5. with MKK: An Initial value Technique for a class of Nonlinear Singular Perturbation Problems, Journal of Optimization Theory and Applications, 53(1987)395-406
  6. with MKK: A Non-asymptotic Method for Singular Perturbation Problems, Journal of Optimization Theory and Applications, 55(1987)73-84
  7. with MKK: A Non-asymptotic Method for General Singular Perturbation Problems, Journal of Optimization Theory and Applications, 55(1987)257-269
  8. with MKK: Numerical Treatment of Singularly Perturbed two point Boundary Value Problems, Applied Mathematics and Computation, 21(1987)93-110
  9. with MKK: Approximate Method for the Numerical Solution of Singular Perturbation Problems, Applied Mathematics and Computation, 21(1987)185-200
  10. with MKK: Numerical Solution of Singular Perturbation Problems via Deviating Arguments, Applied Mathematics and Computation, 21(1987)221-232
  11. with MKK: Approximate Method for the Numerical Solution of Singular Perturbation Problems, Journal of Mathematical Analysis and Application, 133(1988)303-323
  12. with MKK: A Boundary Value Method for Class of Nonlinear Singular Perturbtion Problems, Communications in Applied Numerical Methods, 4(1988)587-594
  13. with MKK: Asymptotic and Numerical Analysis of Singular Perturbation Problems- A Survey, Applied Mathematics and Computation, 3(1989)223-259
  14. Numerical Techniques for a Class of Singular Perturbation Problems, Applied Mathematics and Computation, 35(1990) 1-11
  15. Numerical Integration Method for Solving Singular Perturbation Problems,, Applied Mathematics and Computation, 35(1990)83-95
  16. A Note on the Numerical Integration of a class Singular Perturbation Problems,, Applied Mathematics and Computation, 43(1991)175-180
  17. with KAR: Numerical Integration Method for of General Singularly Perturbed Two Point Boundary Value Problems,, Applied Mathematics and Computation, 133(2002)351-373
  18. with ASRK: The Method of Inner Boundary Condition for Solving Singular Boundary Value Problems, Applied Mathematics and Computation, 139( 2003)429-436
  19. with ASRK: A Numerical Method for Singular Boundary Value Problems over Infinite Intervals, Applied Mathematics and Computation, 144( 2003)483- 494
  20. with ASRK: A Numerical Method for Solving Singular Boundary Value Problems using Chebyshev Econmization, Applied Mathematics and Computation, 146(2003)691-700
  21. with ASRK: Higher Order Finite Difference Method for Class of Solving Singular Boundary Value Problems, Applied Mathematics and Computation, 155(2004)249-258
  22. with ASRK: Cubic Splines for a Class of Singular Two Point Boundary Value Problems, Applied Mathematics and Computation, 170(2005)733-740
  23. with ASRK: A Numerical Integration Method Singular Perturbation Problems, Transactions of SAE, 01(2007) 01414
  24. with ASRK: Numerical Solution of Singular Boundary Value Problems by Terminal Boundary Value Technique, Proceedings of Indian Society of Theoretical and Applied Mechanics (ISTAM), pp 142-154, (2000)
  25. with PPC: Method of Reduction of Order for Solving Singularly Perturbed Two-Point Boundary Value Problems, Applied Mathematics and Computation, Vol. 136, 27-45, 2003.  
  26. with PPC: Numerical Patching Method for Singularly Perturbed Two-Point Boundary Value Problems Using Cubic Splines, Applied Mathematics and Computation, Vol. 149, pp.441-468, 2004.  
  27. with PPC: An Exponentially Fitted Finite Difference Method for Singular Perturbation Problems, Applied Mathematics and Computation, Vol. 154, pp.83-101, 2004.  
  28. with PPC: An Initial-Value Approach for Solving Singularly Perturbed Two-Point Boundary Value Problems, Applied Mathematics and Computation, Vol. 155, pp.95-110, 2004.
  29. with PPC: An Exponentially Fitted Modified Upwind Scheme for Singular Perturbation Problem, International Journal of Fluid Mechanics Research, Vol.33, issue 2, 119-136, 2006.
  30. with PPC: A Fourth Order Fitted Numerical Scheme for Singular Perturbation Problems, Proceedings of Indian Society of Theoretical and Applied Mechanics, pp 142-154, 2005.
  31. with PPC: A cutting Point Technique for Singular Perturbation Problems, Journal of Mathematical Control Science and Applications, Vol. 1, No. 1, pp 39-59, June 2007.
  32. with PPC: A Pair of Independent Initial Value Problems for Singularly Perturbed Two-Point Boundary Value Problems, International Journal of Scientific Computing, Vol. 1, No. 2, pp 123-143, 2007.
  33. with K. Phaneendra & PPC: A Seventh order Numerical Method for Singular Perturbation Problems, Applied Mathematics and Computation, Vol. 186, pp 860-871, 2007.    
  34. with K. Phaneendra & PPC: A Fifth Order Numerical Method for Singular Perturbation Problems, J. Appl. Math. & Informatics Vol. 26(2008), No. 3 - 4, pp. 689-706.
  35. with K. Phaneendra & PPC: A Fifth order Numerical Method for Singularly Perturbed differential-difference equations with negative shift, J. Appl. Math. & Informatics, Vol. 27(2009), No. 1-2, pp 441 -452.  
  36. with K. Phaneendra & PPC: A Fitted Numerov Method for Singular Perturbation Problems Exhibiting Twin Layers, Applied Mathematics and Information Sciences, 4(3)2010,341-352
  37. with AA: An Exponentially Fitted Special Second Order Finite Difference for Solving Singular Perturbation Problems, Applied Mathematics and Computation, 190(2007)1767-1782  
  38. with AA: Fitted Fourth Order Tri-diagonal Finite Difference for Solving Singular Perturbation Problems, Applied Mathematics and Computation, 192(2007)90-100  
  39. with AA: Numerical Technique-I for General Singular Perturbation Two Point Boundary Value Problems, International eJournal of Numerical Analysis Related Topics, 1(2008)9-22.  
  40. with AA: A Numerical Integration Method Singular Perturbation Problems with Mixed Boundary Conditions, Journal of Applied Mathematics and Informatics, 26(2008)1273-1287.  
  41. with AA: Terminal Boundary Condition for Singularly Perturbed Two point Boundary Value Problems, International Journal of Neural, Parallel and Scientific Computations, 16(2008)435-448.  
  42. with Lokapavani: An Exponentially Fitted Higher Order for Solving SPPs, International Journal of Applied Mathematical Analysis and Applications, Vol: 3 No.2 pp 285-304(2009)
  43. with Lokapavani: Fitted Second Order Average Modified Upwind Method for Solving SPPs, International Journal of Scientific Computing, Vol : 2:No: 2, pp 183-196 (2009).
  44. with K. Phaneendra : Fitted Seventh Order Numerical Method for SPPDDEs with negative shift, Non Linear Analysis Modelling and Control, Vol: 16 No.2 206-219, 2011
  45. with K. Phaneendra : Non Iterative Integration method for SPPs exhibiting internal and twin layers, International Journal of Applied Mathematics and Computation 2Vol 3,(1) 9-20, 2011  
  46. with LP: Numerical Asymptotic method for Singular perturbation Problems,International Journal of Mathematical Sciences and Applications, Vol. 1 No. 2 2011
  47. with Soujanya : Non-Iterative Numerical Integration method for SPPs exhibiting Internal and Twin Layers, International Journal of Applied Mathematics and Computation, Vol 1 No 3, 2011
  48. with Soujanya : Fourth Order Finite Difference method for Singularly Perturbed Two Point Boundary Value Problems, Intl Journal of Mat Sci and Eng Appl, Vol. 5, pp. 441-452, 2011.
  49. with Soujanya : A seventh order numerical method for SPDDE's with negative shift, Nonlinear Analysis: Modelling and Control, 206-219,Vol 16, No 2, 2011,
  50. with HSP: Numerical treatment of SPTPBVP's with mixed condition using Differential Quadrature Method, International Journal of Applied Science and Engineering, Vol.-9, No.-3, September, 2011, pp-143-160.
  51. with HSP:Initial value Technique for Singularly Perturbed TPBVPs using Differential Quadrature method, International J. of Math. Sci. & Engg. Appls. pp. 407-431, 5,IV, 2011
  52. with Soujanya: A Fitted Galerkin Method for Singularly Perturbed Differential Equations with Layer BehaviourInternational Journal of Applied Science and Engg,9,3,195-205,2011
  53. with Padmaja: A Nonstandard Explicit Method for Solving Singularly Perturbed Two Point Boundary Value Problems, Int. J. of Appl. Math. and Mech. 8(2): 62-76, 2012.
  54. with Soujanya: Numerical Integration Method for Singularly Perturbed Delay Differential Equations,International Journal of Applied Science and Engineering,10,3,249-261,2012
  55. with HSP: Numerical solution of SPDDE's with small shifts of mixed type by Differential Quadrature Method, American Journal of Computational and Applied Mathematics, Vol-2, No-1, 2012, pp:46-52.
  56. with HSP: Fitted Van Veldhuizen finite difference method for singular perturbation problems with layer behaviour, Intl eJournal of Maths and Engg, 153, (2012), pp-1399-1410.
  57. with HSP: Differential Quadrature Method for the general SPPs, International Journal of Mathematical Sciences and Applications, Vol.-1, No.-2, May 2011, pp-975-999.
  58. with Soujanya: Numerical Integration Method for Singularly Perturbed Delay Differential Equations,International Journal of Arts and Science, 2012
  59. with Padmaja:An asymptotic method for SPTPBVPs via Initial Value approach, Europian Journal of Scientific Research, Vol:82,No:3, pp 340-353, 2012
  60. with Padmaja: A Numerical Scheme for Nonlinear SPTPBVP's using Locally Exact IntegrationAmerican Journal of Computational and Applied Mathematics,Vol:2, No:6, pp: 306-310, 2012
  61. with Padmaja: A Numerical Patching method for solving singular perturbation problems via Pade approximates, International Journal of Applied Science and Engineering,Vol:11,(1) pp:51-67, 2013
  62. with AA:The Method of Asymptotic Inner Boundary Condition for Singular Perturbation problems: Journal of Applied Mathematics and Informatics, 29(2011) 937 - 948.
  63. with AA:An Asymptotic-Fitted Method for Solving Singularly Perturbed Delay Differential Equations; Journal of Applied Mathematics (AM),Vol.3 No. 8, 2012, pp. 895-902
  64. with AA:Parameter Fitted   Scheme for Singularly Perturbed Delay Differential Equations; International Journal of Applied Science and Engineering,Vol.11,No. 4, 2013 pp361-373.
  65. with AA: Solving Singularly Perturbed Differential Difference Equations via Fitted Method; Application and Applied Mathematics: An International Journal, Vol: 8 No:1 2013;318-338,
  66. with AA: Two Initial Value Problems Approach for Solving Singular Perturbations Problems American Journal of Computational Mathematics, 2012, 2, 213-216
  67. with KM: Special Second Order Non Symmetric Fitted Method for Singular Perturbation Problems, Mathematical Theory and Modeling, vol.2, No.11, 2012, 17-26.
  68. with Gemechis: Numerical Integration of a Class of Singularly Perturbed Delay Differential Equations with Small Shift, International Journal of Differential Equations, 12, 2012,
  69. with Gemechis: Fitted Stable Central Difference Method for Solving Singularly Perturbed Delay Differential Equations, Intl J. of Math. Sci. & Engg. Appls, 6, 2012, pp.271-29
  70. with KP: A Fitted Numerov Method for Singular Perturbation Problems Exhibiting Twin Layers, Applied Mathematics & Information Sciences, Vol. 4, No 3, (2010), PP 341-352.
  71. With Gemechis:Fitted-Modified Upwind Finite Difference Method for SPDDE's, International journal of mathematical models and methods in applied sciences, Issue 7, Volume 6, 2012
  72. with LP: Numerical Integration Method for Singularly Perturbation Problems- Technique-1; International Journal of Maths, Sciences, Technology, and Humanities;10(2011) 90-110.
  73. with LP: Numerical Integration Method for Singularly Perturbation Problems- Technique-2; International Journal of Maths, Sciences, Technology, and Humanities;16(2011) 153-173.
  74. with Gemechis: Numerical Integration Method for Singularly Perturbed Differential-      Difference Equations, International Review of Automatic Control - 2012(Vol. 5 N. 6)
  75. with KP:Numerical Treatment of SPTPBVPs using non polynomial spline in optical control problems, International Review of Automatic Control - 2012(Vol. 5 N. 5)
  76. with KP:Fitted Six Order Tridiagonal Finite Difference Method for Singular Perturbation Problems, International e journal of Mathematics and Engineering, 147, 1338-1351, 2012
  77. with KP:Fitted Van Veldhuizen Finite Difference Method for Singular Perturbation Problems with Layer Behaviour, International ejournal of Mathematics and Engg, 153, 1399-1410, 2012
  78. with KP:Numerical Solution of Singular Perturbation Problems via Deviating Argument and Exponential Fitting, American Journal of Computational and Applied Mathematics., 2(2), 49-54, 2012
  79. with KP:Numerical Treatment of Singularly Perturbed Delay Differential Equations,IOSR Journal of Mathematics , 1(2), 01-07, 2012.
  80. with KP:Asymptotic - Numerical method for Third-Order Singular Perturbation Problems, International Journal of Applied Science and Engineering 10(3), 241-248, 2012
  81. with KP:Numerical Integration Method for Singularly Perturbed Delay Differential Equations, International Journal of Applied Science and Engineering, 10(3), 249-261, 2012
  82. with KP:Numerical treatment of SPTPBVP's using non polynomial spline in optimal control problems. International Review of Automatic Control, Vol. 5, No. 5, 2012
  83. with KM : Computational Method for Singularly Perturbed TPBVPs with One Boundary Layer, European Journal of Scientific Research, Vol: 98, No.: 2 (2013), 227-233
  84. with KM : Numerical Integration with Exponential Fitting Factor for SPTPBVPs, British Journal of Mathematics & Computer Science3(3): 397-414, 2013
  85. with Gemechis; Computational method for solving SPDDEs with negative shift, International Journal of Applied Science and Engineering Vol.-11, No.-1, 2013, pp-101-113.
  86. with Gemechis; Domain decomposition method for solving singularly perturbation       problems, International Journal of Applied Science and Engineering, 2013. Vol. 11, No. 4, December 2013 pp 433-448
  87. with Soujanya:Computational Method for Singularly Perturbed Delay Differential Equations with Layer or Oscillatory Behaviour, Appl. Math. Inf. Sci. 7, 1-9, 2013
  88. with Soujanya: An Exponentially Fitted Non-symmetric Finite Difference Method for SPPs, WSEAS Transactions on Mathematics; 12 (7); 767-776, 2013
  89. with KM, A Finite Difference Technique for SPTPBVPs, International Journal of Scientific & Industrial Research; 4;(10) 1253-1258; 2013
  90. with Sireesha: Fitted modified upwind difference scheme for solving SPDDEs with negative shift, International Journal of Scientific & Engineering Research, V4 I-10, 1525-1543, 2013.
  91. with Soujanya, Numerical Integration method for Singularly Perturbed Delay Differential Equations with Layer or Oscillatery behaviour, Applied Computational Mathematics; 12(2): 211-221, 2013.
  92. with Soujanya, Numerical Solution of SPPs exhibiting Dual Layers, International Journal of Advances in Engineering Sciences and Applied Mathematics, Springer, 10; 152572; 2013
  93. with Gemechis : Non Asymptotic method for singularly perturbed delay differential equations, Journal of Applied Mathematics and Informatics, 32:1(2014) 39-53
  94. with Padmaja: A Domain Decomposition Method for Solving Singularly Perturbed TPBVPs via Exponential Splines, American Journal of Numerical Analysis, 2014, 2(4), pp 128-135, 2014
  95. with Gemechis; Terminal boundary-value technique for solving singularly perturbed delay differential equations. Journal of Taibah University for Science , 2014, 8, pp 289-300, 2014
  96. with Sireesha: Fitted Second Order Scheme for Singularly Perturbed Differential Difference Equations, American Journal of Numerical Analysis, 2014, 2(5), pp 136-143, 2014
  97. with Sireesha: Numerical Solution of Singularly Perturbed Differential Difference Equations with Dual Layer, American Journal of Applied Mathematics and Statistics,2(5), 2014 pp 336- 343
  98. with Sireesha: Fitted upwind difference scheme for solving Singularly Perturbed Differential Difference Eqns with negative shift, International Journal of Applied Science and Engg Vol12, No4, 2014 pp-275-288.
  99. with HSP: Numerical solution of Singularly perturbed two point singular boundary value problems using Differential Quadrature Method, American Journal of Numerical Analysis, 2014, 2(6), pp 177-183
  100. with HSP: A fitted second order finite difference method for singular perturbation problems exhibiting dual layers, American Journal of Numerical Analysis, 2014, 2(6), pp 184-189
  101. with HSP: A Fifth Order Compact Difference Method for Singularly Perturbed Singular Boundary Value Problems,American Journal of Applied Mathematics and Statistics,3(2), 2015, pp: 49-53
  102. with Padmaja: Initial Value Approach for class of Singular Perturbation Problems, American Journal of Numerical Analysis, 2015, 3(1), pp 1-7
  103. with Sireesha: Solution of Singularly Perturbed Differential Difference Equations using higher order finite differences, American Journal of Numerical Analysis, 2015, 3(1), pp 8-17
  104. with KP: Computational method for Singularly Perturbed Delay Differential Equations with    twin layers or Oscillatory Behavior, Ain Shams Engineering Journal, 2015, (6), pp 391-398
  105. with HSP: Differential quadrature method for SPDDEs with small delay in convection term, International Journal of Mathematical Sciences, Technology and Humanities 2 (2015)Vol.5 (1), pp: 6 - 25
  106. with Gemechis: Domain Decomposition Method for Singularly Perturbed Differential Difference Equations with Layer behaviour, International Journal of Engg & Applied   Sciences, 2015, 7(1), pp 86-102, 2015
  107. with Lokpavani: Initial Value Method Extended for General Singular Perturbation Problems, American Journal of Numerical Analysis, 2015, 3(2)pp.25-29
  108. with BSL, KP : Computational Method for Singularly Perturbed Delay Differential Equations with Layer or Oscillatory Behaviour, Applied Mathematics and Information Sciences, 10 (2), pp. 1-10, 2016
  109. with DK and  KP : Solution of SPDDE with mixed shifts using Galerikin method with exponential fitting, Chinese Journal Mathematics , Volume 2016, Article 1935853, 2016
  110. with KP: Mixed finite difference method for Singularly Perturbed Delay Differential Equations with   mixed shifts vis domian decomposition, Ain Shams Engineering Journal, D-15-00619R1, 2016
  111. with Sirisha : Exponentially fitted initial value technique for singularly perturbed delay differential equations, Procedia Engineering, 127(2015), 424-431
  112. with BSL, KP : Computational Method for Singularly Perturbed Delay Differential Equations with Layer or Oscillatory Behaviour, Applied Mathematics and Information Sciences, 10 (2), pp. 1-10, 2016
  113. with Gemechis and T. Aga: Numerical Solution of Singularly Perturbed Reaction Diffusion Equations with Layer or Oscillatory behaviour, American Journal of Numerical Analysis,  5(1), pp 1-10, 2017
  114. with Sirisha: Solution of Singularly Perturbed Delay Difference Equations with dual layer behavior using numerical integration, WSEAS Transactions on Mathematics, pages: 94-102 Vol: 16, 2017
  115. with Sirisha: Numerical integration of singularly perturbed delay differential equations using exponential integrating factor, Mathematical Communications, 22(2017), 251.
  116. with KP and DK: Accurate numerical method for singularly Perturbed differential-difference equations with mixed shifts, Khayyam Journal of  Mathematics 4 (2018), No. 2, pp 110�??123

 

Ph.D.'s Supervised

S.No.CandidateThesisAward Year
1
K. A. ReddyA Numerical Study of Singular Perturbation Problems2001
2ASV Ravi KanthNumerical Treatment of Singular Boundary Value Problems2003
3PPChakravarthyNumerical Methods for Solving Singularly Perturbed TPBVPs2004
4A.T. AwokeNumerical Treatment of a Class of Singular Pertubation Problems2009
5LokapavaniNumerical Solutions of Singular Perturbation Problems2010
6K. PhaneendraComputational Methods for a class of Singularly Perturbed TPBVPs2011
7H.S. PrasadNumerical Study of a class of Singular Perturbation Problems2012
8K. MadhulathaNumerical Analysis of SPTPBVP's2013
9GBSL SoujanyaNumerical Methods for class of SPP's2013
10FD Gemechis
Numerical Treatment of Singularly Perturbed Differential Difference Equations2014
11P. PadmajaInitial and Boundary Value Methods for SPTPBVP's

2015

12Ch. L. SirishaNumerical Analysis of Singularly Perturbed Differential Difference Equations

2015












Conferences Attended

VenuePaper TitleConferenceDates

University of Nevada,       Las Vegas, U.S.A.

Numerical Integration Method for Singularly Perturbed Delay Differential Equations

 I J A S Conference


13-16, March,2012

University of London, London, U.K.

Numerical Integration Method for Singularly Perturbed Differential Difference Equations

 I J A S Conference

4-7, November, 2014








STTPs/Conference/Workshops  Organized

TitleCoordinator

Date

National Conference on Applied Non-Linear DynamicsCoordinator

21-22, December, 2016

STTP on Mathematical Modeling & Advanced Numerical TechniquesCoordinator

2-7, December,  2016

STTP on Mathematical Modeling and Computational Techniques
Coordinator

7-11, December 2015

STTP Contemporary Approaches of Applied Mathematics in Sci & EnggCoordinator

11-15, May 2015

National Conference on New Vistas in CFD in EngineeringCoordinator

27-29,January 2012

STTP on Mathematical Modeling & Numerical Techniques

Coordinator

17-21,January 2011
STTP on Advanced Computational Techniques

Coordinator

27-31,January 2009

National Workshop on Numerical Methods in Engineering

Coordinator4-5, April, 2008








 

 

 

 

Awards:

BEST Faculty Award  in 2016 by NITW  & NITWAA

 

Life Member of:  ISTE,  ISTAM,  APSMS,  SMS 

 

Additional Responsibility

Detail

REGISTRAR,  NITW (Second term)  from 2-8-2016 to20-6-2017
REGISTRAR,  NITW  (First Term)   from 30-11-2006 to 5-9-2009
Head of Dept of Mathematics  (Second Term)  : 6-1-2010 to 5-1-2012
Head of Dept of Mathematics & Humanities (First Term) : 6-1-2005 to 6-2-2008
Hostel Warden for 8 years (3years at NITWarangal, 3years at NI Nagpur, 2years at BITSPilani)
Convener, NITWET for 1 year
Co-convener AIEEE Admissions Counselling for 1 year
InCharge Guest House for 2 years
Adviser Rajiv Vidya Mission for 3 years
Faculty Adviser SPRING SPREE for 1 year
In Charge, Computer Lab for 5 years
Faculty Adviser, ISTE Chapter for 3 years
Warden for 5 years
Joint Secretary, ISTAM for 2 years
Vice President, APSMS for 1 year
Served as President, Vice President, Secretary, Joint Secretary of Teachers Association RECTA Warangal






Course Taught Previously

 

Courses Currently Being Taught

ClassesDepartmentSemesterCourse IDCourse Name
M. ScMathematics1 year
 Numerical Analysis
B. Tech
Elective
3rd year
 Numerical Solutions of Differential Equations



 

Publications

 

Journal Publication Details


  1. with MKK: The Method of Inner Boundary Condition: A new approach for Solving Singular Perturbation Problems, Journal of Computational Physics, 62(1986)349-360
  2. with MKK: Numerical Integration of a class Singular Perturbation Problems, Journal of Optimization Theory and Applications, 51(1986)441-452
  3. with MKK: A Computational Method for Solving Singular Perturbation Problems using Fourth Order Finite Differences, Communications in Applied Numerical Methods, 2(1986)609-616
  4. with MKK: Numerical Solution of Singular Perturbation Problems by Terminal Boundary Value Technique, Journal of Optimization Theory and Applications, 52(1986)243-254
  5. with MKK: An Initial value Technique for a class of Nonlinear Singular Perturbation Problems, Journal of Optimization Theory and Applications, 53(1987)395-406
  6. with MKK: A Non-asymptotic Method for Singular Perturbation Problems, Journal of Optimization Theory and Applications, 55(1987)73-84
  7. with MKK: A Non-asymptotic Method for General Singular Perturbation Problems, Journal of Optimization Theory and Applications, 55(1987)257-269
  8. with MKK: Numerical Treatment of Singularly Perturbed two point Boundary Value Problems, Applied Mathematics and Computation, 21(1987)93-110
  9. with MKK: Approximate Method for the Numerical Solution of Singular Perturbation Problems, Applied Mathematics and Computation, 21(1987)185-200
  10. with MKK: Numerical Solution of Singular Perturbation Problems via Deviating Arguments, Applied Mathematics and Computation, 21(1987)221-232
  11. with MKK: Approximate Method for the Numerical Solution of Singular Perturbation Problems, Journal of Mathematical Analysis and Application, 133(1988)303-323
  12. with MKK: A Boundary Value Method for Class of Nonlinear Singular Perturbation Problems, Communications in Applied Numerical Methods, 4(1988)587-594
  13. with MKK: Asymptotic and Numerical Analysis of Singular Perturbation Problems- A Survey, Applied Mathematics and Computation, 3(1989)223-259
  14. Numerical Techniques for a Class of Singular Perturbation Problems, Applied Mathematics and Computation, 35(1990) 1-11
  15. Numerical Integration Method for Solving Singular Perturbation Problems,, Applied Mathematics and Computation, 35(1990)83-95
  16. A Note on the Numerical Integration of a class Singular Perturbation Problems,, Applied Mathematics and Computation, 43(1991)175-180
  17. with KAR: Numerical Integration Method for of General Singularly Perturbed Two Point Boundary Value Problems,, Applied Mathematics and Computation, 133(2002)351-373
  18. with ASRK: The Method of Inner Boundary Condition for Solving Singular Boundary Value Problems, Applied Mathematics and Computation, 139( 2003)429-436
  19. with ASRK: A Numerical Method for Singular Boundary Value Problems over Infinite Intervals, Applied Mathematics and Computation, 144( 2003)483- 494
  20. with ASRK: A Numerical Method for Solving Singular Boundary Value Problems using Chebyshev Econmization, Applied Mathematics and Computation, 146(2003)691-700
  21. with ASRK: Higher Order Finite Difference Method for Class of Solving Singular Boundary Value Problems, Applied Mathematics and Computation, 155(2004)249-258
  22. with ASRK: Cubic Splines for a Class of Singular Two Point Boundary Value Problems, Applied Mathematics and Computation, 170(2005)733-740
  23. with ASRK: A Numerical Integration Method Singular Perturbation Problems, Transactions of SAE, 01(2007) 01414
  24. with ASRK: Numerical Solution of Singular Boundary Value Problems by Terminal Boundary Value Technique, Proceedings of Indian Society of Theoretical and Applied Mechanics (ISTAM), pp 142-154, (2000)
  25. with PPC: Method of Reduction of Order for Solving Singularly Perturbed Two-Point Boundary Value Problems, Applied Mathematics and Computation, Vol. 136, 27-45, 2003.  
  26. with PPC: Numerical Patching Method for Singularly Perturbed Two-Point Boundary Value Problems Using Cubic Splines, Applied Mathematics and Computation, Vol. 149, pp.441-468, 2004.  
  27. with PPC: An Exponentially Fitted Finite Difference Method for Singular Perturbation Problems, Applied Mathematics and Computation, Vol. 154, pp.83-101, 2004.  
  28. with PPC: An Initial-Value Approach for Solving Singularly Perturbed Two-Point Boundary Value Problems, Applied Mathematics and Computation, Vol. 155, pp.95-110, 2004.
  29. with PPC: An Exponentially Fitted Modified Upwind Scheme for Singular Perturbation Problem, International Journal of Fluid Mechanics Research, Vol.33, issue 2, 119-136, 2006.
  30. with PPC: A Fourth Order Fitted Numerical Scheme for Singular Perturbation Problems, Proceedings of Indian Society of Theoretical and Applied Mechanics, pp 142-154, 2005.
  31. with PPC: A cutting Point Technique for Singular Perturbation Problems, Journal of Mathematical Control Science and Applications, Vol. 1, No. 1, pp 39-59, June 2007.
  32. with PPC: A Pair of Independent Initial Value Problems for Singularly Perturbed Two-Point Boundary Value Problems, International Journal of Scientific Computing, Vol. 1, No. 2, pp 123 - 143, 2007.
  33. with K. Phaneendra & PPC: A Seventh order Numerical Method for Singular Perturbation Problems, Applied Mathematics and Computation, Vol. 186, pp 860-871, 2007.    
  34. with K. Phaneendra & PPC: A Fifth Order Numerical Method for Singular Perturbation Problems, J. Appl. Math. & Informatics Vol. 26(2008), No. 3 - 4, pp. 689 - 706.
  35. with K. Phaneendra & PPC: A Fifth order Numerical Method for Singularly Perturbed differential-difference equations with negative shift, J. Appl. Math. & Informatics, Vol. 27(2009), No. 1 - 2, pp 441-452.  
  36. with K. Phaneendra & PPC: A Fitted Numerov Method for Singular Perturbation Problems Exhibiting Twin Layers, Applied Mathematics and Information Sciences, 4(3)2010,341-352
  37. with AA: An Exponentially Fitted Special Second Order Finite Difference for Solving Singular Perturbation Problems, Applied Mathematics and Computation, 190(2007)1767-1782  
  38. with AA: Fitted Fourth Order Tri-diagonal Finite Difference for Solving Singular Perturbation Problems, Applied Mathematics and Computation, 192(2007)90-100  
  39. with AA: Numerical Technique-I for General Singular Perturbation Two Point Boundary Value Problems, International eJournal of Numerical Analysis Related Topics, 1(2008)9-22.  
  40. with AA: A Numerical Integration Method Singular Perturbation Problems with Mixed Boundary Conditions, Journal of Applied Mathematics and Informatics, 26(2008)1273-1287.  
  41. with AA: Terminal Boundary Condition for Singularly Perturbed Two point Boundary Value Problems, International Journal of Neural, Parallel and Scientific Computations, 16(2008)435-448.  
  42. with Lokapavani: An Exponentially Fitted Higher Order for Solving SPPs, International Journal of Applied Mathematical Analysis and Applications, Vol: 3 No.2 pp 285-304(2009)
  43. with Lokapavani: Fitted Second Order Average Modified Upwind Method for Solving SPPs, International Journal of Scientific Computing, Vol : 2:No: 2, pp 183-196 (2009).
  44. with K. Phaneendra : Fitted Seventh Order Numerical Method for SPPDDEs with negative shift, Non Linear Analysis Modelling and Control, Vol: 16 No.2 206-219, 2011
  45. with K. Phaneendra : Non Iterative Integration method for SPPs exhibiting internal and twin layers, International Journal of Applied Mathematics and Computation 2Vol 3,(1) 9-20, 2011  
  46. with LP: Numerical Asymptotic method for Singular perturbation Problems,International Journal of Mathematical Sciences and Applications, Vol. 1 No. 2 2011
  47. with Soujanya : Non-Iterative Numerical Integration method for SPPs exhibiting Internal and Twin Layers, International Journal of Applied Mathematics and Computation, Vol 1 No 3, 2011
  48. with Soujanya : Fourth Order Finite Difference method for Singularly Perturbed Two Point Boundary Value Problems, Intl Journal of Mat Sci and Eng Appl, Vol. 5, pp. 441-452, 2011.
  49. with Soujanya : A seventh order numerical method for SPDDE's with negative shift, Nonlinear Analysis: Modelling and Control, 206-219,Vol 16, No 2, 2011,
  50. with HSP: Numerical treatment of SPTPBVP's with mixed condition using Differential Quadrature Method, International Journal of Applied Science and Engineering, Vol.-9, No.-3, September, 2011, pp-143-160.
  51. with HSP: Initial value Technique for Singularly Perturbed TPBVPs using Differential Quadrature method, International J. of Math. Sci. & Engg. Appls. pp. 407-431, 5,IV, 2011
  52. with Soujanya: A Fitted Galerkin Method for Singularly Perturbed Differential Equations with Layer Behaviour International Journal of Applied Science and Engg,9,3,195-205,2011
  53. with Padmaja: A Nonstandard Explicit Method for Solving Singularly Perturbed Two Point Boundary Value Problems, Int. J. of Appl. Math. and Mech. 8(2): 62-76, 2012.
  54. with Soujanya: Numerical Integration Method for Singularly Perturbed Delay Differential Equations,International Journal of Applied Science and Engineering,10,3,249-261,2012
  55. with HSP: Numerical solution of SPDDE's with small shifts of mixed type by Differential Quadrature Method, American Journal of Computational and Applied Mathematics, Vol-2, No-1, 2012, pp:46-52.
  56. with HSP: Fitted Van Veldhuizen finite difference method for singular perturbation problems with layer behaviour, Intl eJournal of Maths and Engg, 153, (2012), pp-1399-1410.
  57. with HSP: Differential Quadrature Method for the general SPPs, International Journal of Mathematical Sciences and Applications, Vol.-1, No.-2, May 2011, pp-975-999.
  58. with Soujanya: Numerical Integration Method for Singularly Perturbed Delay Differential Equations,International Journal of Arts and Science, 2012
  59. with Padmaja: An asymptotic method for SPTPBVPs via Initial Value approach, Europian Journal of Scientific Research, Vol:82,No:3, pp 340-353, 2012
  60. with Padmaja: A Numerical Scheme for Nonlinear SPTPBVP's using Locally Exact IntegrationAmerican Journal of Computational and Applied Mathematics,Vol:2, No:6, pp: 306-310, 2012
  61. with Padmaja: A Numerical Patching method for solving singular perturbation problems via Pade approximates, International Journal of Applied Science and Engineering,Vol:11,(1) pp:51-67, 2013
  62. with AA:The Method of Asymptotic Inner Boundary Condition for Singular Perturbation problems: Journal of Applied Mathematics and Informatics, 29(2011) 937 - 948.
  63. with AA:An Asymptotic-Fitted Method for Solving Singularly Perturbed Delay Differential Equations; Journal of Applied Mathematics (AM),Vol.3 No. 8, 2012, pp. 895-902
  64. with AA:Parameter Fitted   Scheme for Singularly Perturbed Delay Differential Equations; International Journal of Applied Science and Engineering,Vol.11,No. 4, 2013 pp361-373.
  65. with AA: Solving Singularly Perturbed Differential Difference Equations via Fitted Method; Application and Applied Mathematics: An International Journal, Vol: 8 No:1 2013;318-338,
  66. with AA: Two Initial Value Problems Approach for Solving Singular Perturbations Problems American Journal of Computational Mathematics, 2012, 2, 213-216
  67. with KM: Special Second Order Non Symmetric Fitted Method for Singular Perturbation Problems, Mathematical Theory and Modeling, vol.2, No.11, 2012, 17-26.
  68. with Gemechis: Numerical Integration of a Class of Singularly Perturbed Delay Differential Equations with Small Shift, International Journal of Differential Equations, 12, 2012,
  69. with Gemechis: Fitted Stable Central Difference Method for Solving Singularly Perturbed Delay Differential Equations, Intl J. of Math. Sci. & Engg. Appls, 6, 2012, pp.271-29
  70. with KP: A Fitted Numerov Method for Singular Perturbation Problems Exhibiting Twin Layers, Applied Mathematics & Information Sciences, Vol. 4, No 3, (2010), PP 341-352.
  71. With Gemechis:Fitted-Modified Upwind Finite Difference Method for SPDDE's, International journal of mathematical models and methods in applied sciences, Issue 7, Volume 6, 2012
  72. with LP: Numerical Integration Method for Singularly Perturbation Problems- Technique-1; International Journal of Maths, Sciences, Technology, and Humanities;10(2011) 90-110.
  73. with LP: Numerical Integration Method for Singularly Perturbation Problems- Technique-2; International Journal of Maths, Sciences, Technology, and Humanities;16(2011) 153-173.
  74. with Gemechis: Numerical Integration Method for Singularly Perturbed Differential-      Difference Equations, International Review of Automatic Control - 2012(Vol. 5 N. 6)
  75. with KP:Numerical Treatment of SPTPBVPs using non polynomial spline in optical control problems, International Review of Automatic Control - 2012(Vol. 5 N. 5)
  76. with KP:Fitted Six Order Tridiagonal Finite Difference Method for Singular Perturbation Problems, International e journal of Mathematics and Engineering, 147, 1338-1351, 2012
  77. with KP:Fitted Van Veldhuizen Finite Difference Method for Singular Perturbation Problems with Layer Behaviour, International ejournal of Mathematics and Engg, 153, 1399-1410, 2012
  78. with KP:Numerical Solution of Singular Perturbation Problems via Deviating Argument and Exponential Fitting, American Journal of Computational and Applied Mathematics., 2(2), 49-54, 2012
  79. with KP:Numerical Treatment of Singularly Perturbed Delay Differential Equations,IOSR Journal of Mathematics , 1(2), 01-07, 2012.
  80. with KP:Asymptotic - Numerical method for Third-Order Singular Perturbation Problems, International Journal of Applied Science and Engineering 10(3), 241-248, 2012
  81. with KP:Numerical Integration Method for Singularly Perturbed Delay Differential Equations, International Journal of Applied Science and Engineering, 10(3), 249-261, 2012
  82. with KP:Numerical treatment of SPTPBVP's using non polynomial spline in optimal control problems. International Review of Automatic Control, Vol. 5, No. 5, 2012
  83. with KM : Computational Method for Singularly Perturbed TPBVPs with One Boundary Layer, European Journal of Scientific Research, Vol: 98, No.: 2 (2013), 227-233
  84. with KM : Numerical Integration with Exponential Fitting Factor for SPTPBVPs, British Journal of Mathematics & Computer Science3(3): 397-414, 2013
  85. with Gemechis; Computational method for solving SPDDEs with negative shift, International Journal of Applied Science and Engineering Vol.-11, No.-1, 2013, pp-101-113.
  86. with Gemechis; Domain decomposition method for solving singularly perturbation       problems, International Journal of Applied Science and Engineering, 2013. Vol. 11, No. 4, December 2013 pp 433-448
  87. with Soujanya:Computational Method for Singularly Perturbed Delay Differential Equations with Layer or Oscillatory Behaviour, Appl. Math. Inf. Sci. 7, 1-9, 2013
  88. with Soujanya: An Exponentially Fitted Non-symmetric Finite Difference Method for SPPs, WSEAS Transactions on Mathematics; 12 (7); 767-776, 2013
  89. with KM, A Finite Difference Technique for SPTPBVPs, International Journal of Scientific & Industrial Research; 4;(10) 1253-1258; 2013
  90. with Sireesha: Fitted modified upwind difference scheme for solving SPDDEs with negative shift, International Journal of Scientific & Engineering Research, V4 I-10, 1525-1543, 2013.
  91. with Soujanya, Numerical Integration method for Singularly Perturbed Delay Differential Equations with Layer or Oscillatery behaviour, Applied Computational Mathematics; 12(2): 211-221, 2013.
  92. with Soujanya, Numerical Solution of SPPs exhibiting Dual Layers, International Journal of Advances in Engineering Sciences and Applied Mathematics, Springer, 10; 152572; 2013
  93. with Gemechis : Non Asymptotic method for singularly perturbed delay differential equations, Journal of Applied Mathematics and Informatics, 32:1(2014) 39-53
  94. with Padmaja: A Domain Decomposition Method for Solving Singularly Perturbed TPBVPs via Exponential Splines, American Journal of Numerical Analysis, 2014, 2(4), pp 128-135, 2014
  95. with Gemechis; Terminal boundary-value technique for solving singularly perturbed delay differential equations. Journal of Taibah University for Science , 2014, 8, pp 289-300, 2014
  96. with Sireesha: Fitted Second Order Scheme for Singularly Perturbed Differential Difference Equations, American Journal of Numerical Analysis, 2014, 2(5), pp 136-143, 2014
  97. with Sireesha: Numerical Solution of Singularly Perturbed Differential Difference Equations with Dual Layer, American Journal of Applied Mathematics and Statistics,2(5), 2014 pp 336- 343
  98. with Sireesha: Fitted upwind difference scheme for solving Singularly Perturbed Differential Difference Eqns with negative shift, International Journal of Applied Science and Engg Vol12, No4, 2014 pp-275-288.
  99. with HSP: Numerical solution of Singularly perturbed two point singular boundary value problems using Differential Quadrature Method, American Journal of Numerical Analysis, 2014, 2(6), pp 177-183
  100. with HSP: A fitted second order finite difference method for singular perturbation problems exhibiting dual layers, American Journal of Numerical Analysis, 2014, 2(6), pp 184-189
  101. with HSP: A Fifth Order Compact Difference Method for Singularly Perturbed Singular Boundary Value Problems,American Journal of Applied Mathematics and Statistics,3(2), 2015, pp: 49-53
  102. with Padmaja: Initial Value Approach for class of Singular Perturbation Problems, American Journal of Numerical Analysis, 2015, 3(1), pp 1-7
  103. with Sireesha: Solution of Singularly Perturbed Differential Difference Equations using higher order finite differences, American Journal of Numerical Analysis, 2015, 3(1), pp 8-17
  104. with KP: Computational method for Singularly Perturbed Delay Differential Equations with    twin layers or Oscillatory Behavior, Ain Shams Engineering Journal, 2015, (6), pp 391-398
  105. with HSP: Differential quadrature method for SPDDEs with small delay in convection term, International Journal of Mathematical Sciences, Technology and Humanities 2 (2015)Vol.5 (1), pp: 6 - 25
  106. with Gemechis: Domain Decomposition Method for Singularly Perturbed Differential Difference Equations with Layer behaviour, International Journal of Engg & Applied   Sciences, 2015, 7(1), pp 86-102, 2015
  107. with Lokpavani: Initial Value Method Extended for General Singular Perturbation Problems, American Journal of Numerical Analysis, 2015, 3(2)pp.25-29
  108. with BSL, KP : Computational Method for Singularly Perturbed Delay Differential Equations with Layer or Oscillatory Behaviour, Applied Mathematics and Information Sciences, 10 (2), pp. 1-10, 2016
  109. with DK and  KP : Solution of SPDDE with mixed shifts using Galerikin method with exponential fitting, Chinese Journal Mathematics , Volume 2016, Article 1935853, 2016
  110. with KP: Mixed finite difference method for Singularly Perturbed Delay Differential Equations with   mixed shifts vis domian decomposition, Ain Shams Engineering Journal, D-15-00619R1, 2016
  111. with Sirisha : Exponentially fitted initial value technique for singularly perturbed delay differential equations, Procedia Engineering, 127(2015), 424-431
  112. with BSL, KP : Computational Method for Singularly Perturbed Delay Differential Equations with Layer or Oscillatory Behaviour, Applied Mathematics and Information Sciences, 10 (2), pp. 1-10, 2016
  113. with Gemechis and T. Aga: Numerical Solution of Singularly Perturbed Reaction Diffusion Equations with Layer or Oscillatory behaviour, American Journal of Numerical Analysis,  5(1), pp 1-10, 2017
  114. with Sirisha: Solution of Singularly Perturbed Delay Difference Equations with dual layer behavior using numerical integration, WSEAS Transactions on Mathematics, pages: 94-102 Vol: 16, 2017
  115. with Sirisha: Numerical integration of singularly perturbed delay differential equations using exponential integrating factor, Mathematical Communications, 22(2017), 251
  116. with KP and DK: Accurate numerical method for singularly Perturbed differential-difference equations with mixed shifts, Khayyam Journal of  Mathematics, 4 (2018), No. 2, pp 110�??123


 

PHDs Supervised

 

S.No.CandidateThesisAward Year
1
K.A. ReddyA Numerical Study of Singular Perturbation Problems2001
2ASV Ravi KanthNumerical Treatment of Singular Boundary Value Problems2003
3PPChakravarthyNumerical Methods for Solving Singularly Perturbed TPBVPs2004
4A.T. AwokeNumerical Treatment of a Class of Singular Pertubation Problems2009
5LokapavaniNumerical Solutions of Singular Perturbation Problems2010
6K. PhaneendraComputational Methods for a class of Singularly Perturbed TPBVPs2011
7H.S. PrasadNumerical Study of a class of Singular Perturbation Problems2012
8K. MadhulathaNumerical Analysis of SPTPBVP's2013
9GBSL SoujanyaNumerical Methods for class of SPP's2013
10FD Gemechis
Numerical Treatment of Singularly Perturbed Differential Difference Equations2014
11P. PadmajaInitial and Boundary Value Methods for SPTPBVP's

2015

12Ch. L. SirishaNumerical Analysis of Singularly Perturbed Differential Difference Equations

2015

 

Workshops/Conferences

 International  Conferences attended

VenuePaper TitleConferenceDates

University of Nevada, Las Vegas, U.S.A.

Numerical Integration Method for Singularly Perturbed Delay Differential Equations

I J A S Conference


13-16, March,2012

University of London, London, U.K.

Numerical Integration Method for Singularly Perturbed Differential Difference Equations

I J A S Conference

4-7, November, 2014

 

 

 

 

 

 

Special Training programs attended in Management and Administration:

Venue  

Program details

A.S.C.I., Hyderabad

Management �??Insight for Faculty members (For  one week)-2006

NITTR, Chandigarh

Educational Auditing for technical Institutions (For one week) 2006

University of Calcutta

Management of University Administration(For one week)2007

IIT Bombay

Aakash for Education ( Two days)2012

UK-India Project

Management of Change and Life long Learning (For one day) 1998

 

 STTP/Conferences conducted

TitleCoordinator

Date

National Conference on Applied Non-Linear DynamicsCoordinator

21-22, December, 2016

STTP on Mathematical Modeling & Advanced Numerical Techniques

Coordinator

2-7, December,  2016

STTP on Mathematical Modeling and Computational Techniques

Coordinator

7-11, December 2015

STTP Contemporary Approaches of Applied Mathematics in Sci & EnggCo-Coordinator

11-15, May 2015

National Conference on New Vistas in CFD in EngineeringCoordinator

27-29,January 2012

STTP on Mathematical Modeling & Numerical Techniques

Coordinator

17-21,January 2011
STTP on Advanced Computational Techniques

Coordinator

27-31,January 2009

National Workshop on Numerical Methods in Engineering

Coordinator4-5, April, 2008

 

Projects

 

Awards and Honors

BEST Faculty Award  in 2016 by NITW  & NITWAA

 

 Life Member of:  ISTE,  ISTAM,  APSMS,  SMS 

Additional Responsibility

 

Detail

REGISTRAR,  NITW (Second term)  from 2-8-2016 to20-6-2017
REGISTRAR,  NITW  (First Term)   from 30-11-2006 to 5-9-2009
Head of Dept of Mathematics  (Second Term)  : 6-1-2010 to 5-1-2012
Head of Dept of Mathematics & Humanities (First Term) : 6-1-2005 to 6-2-2008
Hostel Warden for 8 years (3years at NITWarangal, 3years at NI Nagpur, 2years at BITSPilani)
Convener, NITWET for 1 year
Co-convener AIEEE Admissions Counselling for 1 year
InCharge Guest House for 2 years
Adviser Rajiv Vidya Mission for 3 years
Faculty Adviser SPRING SPREE for 1 year
In Charge, Computer Lab for 5 years
Warden for 5 years
Faculty Adviser, ISTE Chapter for 3 years
Joint Secretary, ISTAM for 2 years
Vice President, APSMS for 1 year
Served as President, Vice President, Secretary, Joint Secretary of Teachers Association RECTA Warangal