Bio-sketch

Dr. Sachin Sharma is an Assistant Professor in the Department of Mathematics at Netaji Subhas University of Technology (formerly known as Netaji Subhas Institute of Technology) in New Delhi, where he has been since June 2021. He earned his M.Sc. in Mathematics from the Indian Institute of Technology, Kanpur, and both his M.Phil. and Ph.D. in Mathematics from the University of Delhi. Additionally, he qualified for the CSIR-NET (JRF) in 2011 and the GATE
exam in 2010. With nine years of teaching experience and thirteen years of research expertise in Numerical Analysis, Dr. Sharma has published 15 research papers in well-regarded international and national journals. He has also presented his work at various national and international conferences. His research focuses on numerical techniques, particularly finite difference methods for ordinary, partial, and fractional differential equations.

Areas of Interest

Numerical Analysis, Differential Equations

ORCID ID: 0000-0003-4171-7377
Google Scholar ID: G3Q-LiEAAAAJ

Scopus ID: 57220941332
Vidwan ID: 31954

Ph.D. students

1. Naina Sharma ( Ongoing since September 2021)

2. Kirandeep Kaur ( Ongoing since July 2021)

List of M.Sc. Students who completed their M.Sc. major project

1. Anshika Gehlot

2. Jyoti Bahukhandi

3. Ritik Kaushik

 

Publications (Click to expand)

1. Kaur, K & Sharma, S. (2024). An efficient fourth-order convergent scheme based on half-step spline
function for two-point mixed boundary value problems, Journal of Difference Equations and
Applications, https://doi.org/10.1080/10236198.2024.2421774.( SCI, IF:1.1)
2. Sharma N., & Sharma, S. (2024). An efficient off-step spline algorithm for wave simulation of
nonlinear Kuramoto–Sivashinsky and Korteweg-de Vries equations. International Journal of Computer
Mathematics, 1-22. ( SCI, IF:1.7)
3. Sharma, S., & Sharma, N. (2024). A new spline method on graded mesh for fourth-order time-
dependent PDEs: Application to Kuramoto-Sivashinsky and extended Fisher-Kolmogorov equations.
Physica Scripta, 99(10), 105275. ( SCI, IF:2.6)
4. Sharma, S., & Sharma, N. (2024). A fast computational technique to solve fourth-order parabolic
equations: Application to good Boussinesq, Euler-Bernoulli and Benjamin-Ono equations. International
Journal of Computer Mathematics, 101(2), 194-216. ( SCI, IF:1.7)
5. Sharma, S., & Kaur, K. (2024). A high-resolution exponential spline method and its convergence
analysis for two-point mixed boundary value problems. International Journal of Computational Methods,
21(6), 2450008. ( SCI, IF:1.4)
6. Mohanty, R. K., & Sharma, S. (2021). A new high-accuracy method based on off-step cubic
polynomial approximations for the solution of coupled Burgers’ equations and Burgers–Huxley equation.
Engineering with Computers, 37(4), 3049-3066.( SCI, IF:7.3)
7. Mohanty, R. K., & Sharma, S. (2021). A new high-resolution two-level implicit method based on
non-polynomial spline in tension approximations for time-dependent quasi-linear biharmonic equations.
Engineering with Computers, 37(3), 2073-2087.( SCI, IF:7.3)
8. Mohanty, R. K., & Sharma, S. (2020). A new two-level implicit scheme based on cubic spline
approximations for the 1D time-dependent quasi-linear biharmonic problems. Engineering with
Computers, 36(4), 1485-1498. ( SCI, IF:7.3)
9. Mohanty, R. K., & Sharma, S. (2020). A high-resolution method based on off-step non-polynomial
spline approximations for the solution of Burgers-Fisher and coupled nonlinear Burgers’ equations.
Engineering Computations, 37(8), 2785-2818.( SCI, IF:1.5)
10. Mohanty, R. K., & Sharma, S. (2020). Fourth-order accurate method based on half-step cubic spline
approximations for the 1D time-dependent quasi-linear parabolic partial differential equations. TWMS

Journal of Applied and Engineering Mathematics, 10(2), 415-427. ( ESCI, Scopus, IF:0.4)
11. Mohanty, R. K., & Sharma, S. (2020). Fourth-order numerical scheme based on half-step non-
polynomial spline approximations for 1D quasi-linear parabolic equations. Numerical Analysis and
Applications, 13(1), 68-81. ( ESCI, Scopus, IF:0.4)
12. Mohanty, R. K., Sharma, S., & Singh, S. (2019). A new two-level implicit scheme for the system of
1D quasi-linear parabolic partial differential equations using spline in compression approximations.
Differential Equations and Dynamical Systems, 27, 327-356. ( ESCI, Scopus, IF:0.8)
13. Mohanty, R. K., Sharma, S., & Singh, S. (2018). A new two-level implicit scheme of order two in
time and four in space based on half-step spline in compression approximations for unsteady 1D quasi-
linear biharmonic equations. Advances in Difference Equations, 2018, 1-20. ( SCI, IF:3.1)
14. Mohanty, R. K., & Sharma, S. (2017). High-accuracy quasi-variable mesh method for the system of
1D quasi-linear parabolic partial differential equations based on off-step spline in compression
approximations. Advances in Difference Equations, 2017, 1-30. ( SCI, IF:3.1)
15. Jain, M. K., Sharma, S., & Mohanty, R. K. (2016). High accuracy variable mesh method for
nonlinear two-point boundary value problems in divergence form. Applied Mathematics and
Computation, 273, 885-896. ( SCI, IF:3.5)