National Institute Of Technology,Kurukshetra

DEPARTMENT OF MATHEMATICS

Faculty

Name : Dr. A. S. V Ravi Kanth (Head of Department)
Designation : Associate Professor
Qualification : Ph.D.
Current Address :

CT - 403, NIT Campus


Phone 1 (office) : 01744-233507
Phone 2 (office) :
Email : asvravikanth@yahoo.com, asvravikanth@gmail.com

Area Of Intrest :

  • Numerical Analysis
  • Numeric’s of Delay Differential Equations
  • Fractional Differential Equations
  • Numerical Methods with analysis for Singular Boundary Value Problems
  • Singular Perturbation Problems

Experience :

16 Years

Other :

Research Publications:

1. A numerical approach for a class of time fractional reaction diffusion equation through exponential B-spline method, Computational and Applied Mathematics. (Springer) (Accepted) (with Neetu Garg)

2. An Implicit Numerical Scheme for a Class of Multi-term Time-Fractional Diffusion Equation, The European Physical Journal Plus s (2019) 134 (6): 312. (Springer) (with Neetu Garg)

3. Computational results and analysis for a class of linear and nonlinear singular perturbed convection delay problems on Shishkin mesh, Hecettepe Journal of Mathematics & Statistics. (Accepted) (with P. Murali Mohan Kumar)

4. Analytical Solutions of the Bloch Equation via Fractional Operators with Non-singular Kernels, Applied Mathematics and Scientific Computing, Trends in Mathematics, 37-45, (2019). (Springer) (with Neetu Garg)

5. Application and Analysis of Spline Approximation for Time Fractional Mobile-Immobile Advection-Dispersion Equation, Numerical Methods for Partial Differential Equations, 34(5),1799-1819(2018).(Wiley Journal) (with Deepika)

6. Numerical Method for a Class of Nonlinear Singularly Perturbed Delay Differential Equations Using Parametric Cubic Spline, International Journal of Nonlinear Sciences and Numerical Simulation,19(3-4), 357-365(2018). (De-Gruyter Journal) (with P. Murali Mohan Kumar)

7. Exponential Spline Method for One Dimensional Nonlinear Benjamin-Bona-Mahony-Burgers Equation, Communications in Computer and Information Science, vol 834, 205-215(2018). (with Deepika)(Springer)

8. Analysis and numerical simulation for a class of time fractional diffusion equation via tension spline, Numerical Algorithms 79(2), 479–497(2018). (Springer Journal) (with Deepika) .

9. Computational Simulations for Solving a Class of Fractional Models via Caputo-Fabrizio Fractional Derivative, Procedia Computer Science, 476-482 (2018). (with Neetu Garg)

10. A Numerical Technique for Solving Nonlinear Singularly Perturbed Delay Differential Equations, Mathematical Modelling and Analysis, 23(1), 64-78 (2018). (with P. Murali Mohan Kumar).

11. Numerical analysis of two-parameter singularly perturbed boundary value problems via fitted splines, Analysis, 37(3), 133-143 (2017). (De-Gruyter Journal)(with P. Murali Mohan Kumar)

12. A numerical approach for solving singularly perturbed convection delay problems via exponentially fitted spline method, Calcolo, 54(3), 943-961 (2017). (Springer Journal)(with P. Murali Mohan Kumar).

13. Non-Polynomial Spline Method for One Dimensional Nonlinear Benjamin-Bona-Mahony-Burgers Equation, International Journal of Nonlinear Sciences and Numerical Simulation, 18(3-4), 277-284 (2017). (De-Gruyter Journal) (with Deepika).

14. Numerical Treatment For A Singularly Perturbed Convection Delayed Dominated Diffusion Equation Via Tension Splines, International Journal of Pure and Applied Mathematics, 113(6), 110-118 (2017). (Academic Publications) (with P. Murali Mohan Kumar)

15. Solution Of Nonlinear Equations Arising In Heat Transfer Through Parameterized Perturbation Method, International Journal of Pure and Applied Mathematics, 113(9), 157-165 (2017). (Academic Publications) (with K. Aruna and Geetha Vani)

16. Solution of time fractional Black-Scholes European option pricing equation arising in financial market, Nonlinear Engineering -Modeling and Application, 5(4), 269-276(2016). (De Gruyter Journal) (with K. Aruna)

17. Solution of fractional third-order dispersive partial differential equations,Egyptian Journal of Basic and Applied Sciences Vol. 2(3), 190-199 (2015). (with K. Aruna) (Elsevier Journal)

18. Solution for singularly perturbed problems via cubic spline intension, Journal of Information and Computing Science, 11(4), 262-269 (2016). (World Academic Press) (with K. Aruna)

19. Two-Dimensional Differential Transform Method and Modified Differential Transform Method for Solving Nonlinear Fractional Klein–Gordon Equation, National Academy Science Letters, Vol 37, (2)pp 163-171(2014). (Springer Journal) (with K. Aruna)

20. A Haar Wavelet Study on Convective-Radiative Fin under Continuous Motion with Temperature-Dependent Thermal Conductivity, Walailak Journal of Science and Technology, Vol 11(3) pp 211-224 (2014). (with Uday Kumar)

21. Differential transform – Pade technique for treating non-linear Singular Boundary value problems arising in the Applied Sciences, International Journal of Nonlinear Sciences and Numerical Simulation, 5(2013) 247 – 254. (De Gruyter Journal) (with K. Aruna)

22. A Computational technique for solving Singularly Perturbed Boundary Value Problems, International Journal of Applied Mathematics and Computation, 5(1)(2013)22 – 27.(Darbose Publications)

23. Approximate Solutions of Non-linear Fractional Schrodinger Equation Via Differential Transform Method and Modified Differential Transform Method, National Academy Science Letters, 36(2) (2013), 201-213. (Springer Journal) (with K. Aruna)

24. A novel approach for a class of higher order nonlinear singular boundary value problems, International Journal of Pure and Applied Mathematics, 84(4) (2013), 321-329. (Academic Publications)(with K. Aruna)

25. Solution of singular two point boundary value problems with forcing function in integral form via differential transform method, World Journal of Mathematical Science, Vol. 9 (2013) No. 4, pp. 262-268 (World Academic Press) (with K. Aruna)

26. Application of the Haar wavelet method on continuously moving convective-radiative fin with variable thermal conductivity, Heat Transfer - Asian Research,42(4), (2013), 335-351. (Wiley Journal) (with Uday Kumar)

27. Comparison Study of Differential Transform Method with Finite Difference Method for Magnetoconvection in a Vertical Channel, Heat Transfer - Asian Research, 42 (3) (2013), 243-258. (Wiley Journal) (with J.C. Umavathi and M. Shekar).

28 Mixed Convective Flow in a Vertical Channel Filled with Porous Medium using Differential Transform Method, International Journal of Mathematical Archive, 4(3), (2013) 291-299. (with J.C. Umavathi and M. Shekar).

29. A Spline based computational simulations for solving self-adjoint singularly perturbed two-point boundary value problems, Journal of Information and Computing Science, 7 (4), 2012, 303-314 (World Academic Press) (with K. Aruna)

30. Comparison of two Dimensional DTM and PDTM for solving Time-Dependent Emden-Fowler Type Equations, International Journal of nonlinear Science,(World Academic Press), 13(2)(2012),228-239.(with K. Aruna)

31. He’s varational iteration method for treating non-linear singular boundary value problems, Computers &Mathematics with Application 60 (2010), 821 – 829. (with K. Aruna) (Elsevier Journal)

32. Two-dimensional differential transform method for solving linear and non-linear Schrödinger equations, Chaos, Solitons and Fractals, 41 (2009), 2277 – 2281. (with K. Aruna) (Elsevier Journal)

33. He’s Homotopy perturbation method for solving higher order boundary value problems, Chaos, Solitons and Fractals, 41(2009) 1905 -1909. (with K. Aruna) (Elsevier Journal)

34. Differential transform method for solving the linear and nonlinear Klein-Gordon equation, Computer Physics Communications, 180(2009) 708 – 711. (with K. Aruna) (Elsevier Journal)

35. Variational iteration method for twelfth-order boundary value problems, Computers & Mathematics with Application, 58(11-12)(2009) 2360-2364. (with K. Aruna)(Elsevier Journal)

36. Differential transform method for solving linear and non-linear systems of partial differential equations, Physics Letters A, 372 (2008) 6896–6898. (with K. Auna) (Elsevier Journal )

37. Solution of singular two-point boundary value problems using differential transformation method, Physics Letters A, 372 (2008), 4671 – 4673. (with K. Aruna)) (Elsevier Journal)

38. A Numerical Integration Method for Singular Perturbation Problems, SAE Transactions: Journal of Passenger Cars-Mechanical Systems, (2007) Vol 116, 223 – 231.(with Y.N. Reddy and Rao. V. Dukkipati).

39. Cubic Spline polynomial for solving non linear singular two point Boundary Value Problems, Applied Mathematics and Computation, 189(2) (2007) 2017–2020. (Elsevier Journal)

40. Cubic Spline for a class of singular boundary value problems arising in physiology, Applied Mathematics and Computation, 174(1) (2006) 768–774. (with Vishnu) (Elsevier Journal)

41. Cubic Spline for a Class of Singular Two-Point Boundary Value Problems, Applied Mathematics and Computation, 170(2) (2005) 733–740. (with Y.N. Reddy)(Elsevier Journal)

42. Higher Order Finite Difference Method for a Class Singular Boundary Value Problems, Applied Mathematics and Computation, 155(1) (2004)249–258. (with Y.N. Reddy) (Elsevier Journal)

43. A Numerical Method for Singular Boundary Value Problems via Chebyshev Economizition, Applied Mathematics and Computation, 146/2–3 (2003) 691–700. (with Y.N. Reddy) (Elsevier Journal)

44. A Numerical Method for solving two point Boundary Value Problems over Infinite Intervals, Applied Mathematics and Computation, 144(2003)483–494.(with Y.N. Reddy) (Elsevier Journal)

45. The Method of Inner Boundary Condition for Singular Boundary Value problems , Applied Mathematics and Computation, 139/2–3(2003), 429 – 436. (with Y.N. Reddy)(Elsevier Journal).

Conference Proceedings:

1. Application of singular perturbation theory in modeling and control of flexible robot arm, International Journal of Advanced Technology and Engineering Exploration; 3(24) (2016): 176-181 (with Mohit Garg, and A. Swarup)

2. Numerical Solutions for Convection-Diffusion Equation through Non-Polynomial Spline. MATEC Web of Conferences. Vol. 57. EDP Sciences, 2016. (with Deepika)

3. The numerical simulation of convection delayed dominated diffusion equation. MATEC Web of Conferences. Vol. 57. EDP Sciences, 2016. (with  P. Murali Mohan Kumar)

4. Modal Analysis of Composite Cantilevers in MEMS, Proceeding of International Conference on Advanced Research in Mechanical Engineering 2013, pages: 10–12 (with Bini Koshy Varghese) ISBN: 987-93-83060-03-0

5. Computational simulations for solving power law fin type problems via Haar wavelets, Proceedings of 56th Congress of ISTAM 2011, pages: 245 – 250.(with N. Uday Kumar)

6. He’s VarationalIterational Iteration method for solving higher order linear and nonlinear boundary value problems, Proceedings of 54th Congress of ISTAM 2009, pages: 209 – 213.(with K. Aurna)

7. Homotopy perturbation method for solving sixth order boundary value problems,Proceedings of 53th Congress of ISTAM 2008, pages: 267 – 276, (with B. Satyanarayana)

8. Numerical Solution of Singular Boundary Value problems by Terminal Boundary Value Technique, Proceedings of 45th Congress of ISTAM 2000, pages: 39 – 45,(with Y.N. Reddy)

Ph.D Supervised:

i) Two Completed

ii) In Progress Three

iii) Guided Three M. Phil. Dissertations

M.Tech Dissertations:

a) Guided Two Dissetation

Sponsored R &D Projects:

a) Completed Major Research Projects

i) As a Principal Investigator to a NBHM sponsored project entitled “A Computational Approach for Singularly Perturbed Differential Difference Equations with Delay as well as Advance” Amount of Grant: 9.125 Lakhs, Period 2014-2017.

ii) As a Principal Investigator to a DRDO sponsored project entitled "Numerical Modelling and Simulation of Boundary Layer Problems i.e. Singular Singularly Perturbed Two Point Boundary Value Problem”. Amount of Grant: 4.49 Lakhs, Period: 2011 – 2012.

iii) Co-Principal Investigator to a DRDO sponsored project entitled “Some nonlinear Hydrodynamic and Hydromagnetic fluid flows in non-uniform channels with oscillating walls”  Amount of Grant:  13.96 lakhs, Period: 2004 – 2006.

iv) Co-Principal Investigator to a DRDO sponsored project entitled “Investigations of Hydromagnetic Boundary layers in rotating flows with β-plane approximation”. Amount of Grant: 14.85 lakhs, Period: 2005 – 2008.

Contribution:

i. Professor-in-charge (Examinations), from 11-08- 2017 -  31-05-2019

ii. Head, Department of Mathematics, from July 2015 - June 2017

iii. Professor-in-charge (Academic & Examination), from 26-12- 2016- 10-08-2017

iv. Professor In-charge (Academic & Senate Affairs), from 21-05-15- 25-12-2016

v. Chairman, Department Academic Committee, Department of Mathematics

vi. Chairman, Departmental Research Committee, Department of Mathematics

vii. Deputy Coordinator, External Peer Review, NIT-Kurukshetra

viii. Chairman,Institute Funiture Procurement Committee, NIT-Kurukshetra (2-01-2015 - till date)

ix. Member, Integrated Institute Management Software Committee, NIT-Kurukshetra

x. Member, Industry Cell, NIT-Kurukshetra

xi. Member Institute Health Centre Committee (28-3-16- till date)

xii. Member, Campus Security Issuses, NIT-Kurukshetra (17-11-2014 - till date)

xiii. Warden, Hostel No-2, (18-07-2014 to 14-09-2015)

INVITED/SEMINAR TALKS

1. Talk on " Numerical Simulation for a Class of Fractional Differential Equations" in the 11th conference on National Conference on Mathematical Techniques and Applications conducted by Department of Mathematics, SRM Institute of Science & Technology, Kattankulathur during 11-12 Jan 2019.

2. Talk on "Time-Dependent Singularly Perturbed  Parabolic Partial Differential Difference Equations" in the STTP on Mathematical Modeling & Numerical Techniques in Engineering and Science conducted by Department of Mathematics, NIT Warangal during 9-13 Oct 2018.

3. Talk on "Numeric's for fractional differentiaal equations" in the International Conference on Computational Fluid flow and Heat Transfer conducted by Department of Mathematics, Osmania University, Hyderabad during 28-29 March, 2018.

4. Talk on "Numerical simulations for treating power-law fin-type problems through Haar Wavelets" in the National Conference on “EMERGING TRENDS IN FLUID MECHANICS” conducted by Department of Mathematics, Christ University, Bengaluru during 29-30 April, 2016

5. Talk on “Numerical Solutions for singularly perturbed problems via tension spline with a fitting factor” in the International Conference on Recent Advances in Mathematical Sciences and Applications (RAMS-13) conducted by Gayatri Vidya Parishad – Prof. V. Lakshmikantam Institute for Advanced Studies, Vizag during December 19 – 22, 2013.

6. Talk on “ Cubic Spline in Tension for Singularly Perturbed Problems” in the National Seminar on Recent Developments in Mathematical Sciences conducted by Sri Venkateswara University, Tirupathi on 28, June 2013.

7. Talk on “DTM for Singular Two-point Boundary Value Problems” in the National seminar on Recent Trends in Mathematics conducted by Sri Venkateswara University, Tirupathi on 22, Dec 2012.

8. Talk on “ Comparison of Two Dimensional Differential Transform Method and Projected Differential Transform Method” in the III National Conference on Emerging Trends in Fluid Mechanics and Graph Theory conducted by Christ University, Bangalore on 16 -17, Feb 2012.

9. Talk on “Differential transform technique and its applications for initial and boundary value problems” in the National Conference on Frontiers in Fluid Mechanics conducted by Gulbarga University on 22 – 23, Feb 2011.