Bio-sketch
Dr. Sachin Sharma is an Assistant Professor at the Department of Mathematics, Netaji Subhas University of Technology (formerly Netaji Subhas Institute of Technology), New Delhi. He obtained his M.Sc.(Mathematics) degree from Indian Institute of Technology, Kanpur. He obtained his M.Phil.(Mathematics) & Ph.D.(Mathematics) degrees from the Department of Mathematics, University of Delhi. He also qualified CSIR-NET(JRF)-2011 and GATE-2010 in Mathematics. He has 10 years teaching experience in Mathematics and 14 years research experience in the Numerical Analysis area. He has published 20 research papers in reputed peer reviewed International and National Journals. He has presented various research papers in national as well as international conferences. His research interest includes the numerical techniques based on Spline approximations and Wavelet methods for ordinary and partial differential equations.
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Areas of Interest
Numerical Analysis
- Publications in International Journal
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- Publications in National Journal
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- Publications in National Conferences
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- Publications in International Conferences
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- Books/Book Chapters
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- Publications (Click to expand)
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1. Sachin Sharma and Naina Sharma, Exponential spline approach for analyzing n - soliton wave dynamics of good Boussinesq equation, Physics Letters A, https://doi.org/10.1016/j.physleta.2025.130698, (2025). (SCIE)2. Kirandeep Kaur , and Sachin Sharma, An efficient computational technique to solve second order Lane-Emden-Fowler type equations arising in physical phenomena. Physica Scripta 100.6 : 065244 (2025).(SCIE)
3. Jay Kishore Sahani, Pappu Kumar and Sachin Sharma, Computational study of white dwarfs and Lane–Emden-type equations through Genochhi wavelet method, International Journal of Modern Physics C, https://doi.org/10.1142/S0129183125500676, 2025 (SCI)
4. Naina Sharma and Sachin Sharma, A computational study of multi-soliton of good Boussinesq equation and Euler-Bernoulli beam model via non-polynomial spline algorithm, International Journal of Modern Physics C, https://doi.org/10.1142/S0129183125500329, 2025 (SCI)
5. Naina Sharma and Sachin Sharma, An Efficient Off-Step Exponential Spline Technique to Solve Kuramoto–Sivashinsky and Extended Fisher–Kolmogorov Equations, International Journal of Computational methods, https://doi.org/10.1142/S0219876224500786, (2025) (SCIE)
6. Kirandeep Kaur and Sachin Sharma, 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, 1-28 (2024) (SCIE)
7. Naina Sharma and Sachin Sharma, 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 (2024) (SCIE)
8. Sachin Sharma and Naina Sharma, 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 (2024) (SCIE)
9. Sachin Sharma and Kirandeep Kaur, A High-Resolution Exponential Spline Method and Its Convergence Analysis for Two-Point Mixed Boundary Value Problems. International Journal of Computational Methods, 2450008 (2024) (SCIE)
10. Sachin Sharma and Naina Sharma, 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 (2024) (SCIE)
11. R.K. Mohanty and Sachin Sharma, 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 (2020) (SCIE)
12. R.K. Mohnaty and Sachin Sharma, 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, https://link.springer.com/article/10.1007/s00366-020- 00982-4 (2020) (SCIE)
13. R.K. Mohanty and Sachin Sharma, Fourth-order numerical scheme based on half-step nonpolynomial spline approximations for 1D quasi-linear parabolic equations, Numerical Analysis and Applications, 13(1), 68-81 (2020). (Scopus)
14. R.K. Mohanty and Sachin Sharma, Fourth-order accurate method based on half-step cubic spline approximations for the 1D time-dependent quasilinear parabolic partial differential equations, TWMS Journal of Applied and Engineering Mathematics, 10 (2), 415-427 (2020). (Scopus)
15. R.K. Mohanty and Sachin Sharma, A new high-resolution two-level implicit method based on non-polynomial spline in tension approximations for time-dependent quasi-linear biharmonic equations with engineering applications, Engineering with Computers, https://doi.org/10.1007/s00366-019-00928-5 (2020). (SCIE)
16. R.K. Mohanty and Sachin Sharma, A new two-level implicit scheme based on cubic spline approximations for the 1D time-dependent quasilinear biharmonic problems, Engineering with Computers, 36, 1485-1498 (2019). (SCIE)
17. R. K. Mohanty and Sachin Sharma, Swarn Singh, 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, 2018:378 (2018). (SCIE)
18. R. K. Mohanty and Sachin Sharma and Swarn Singh, 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 (2018). (Scopus)
19. R. K. Mohanty and Sachin Sharma, 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, 2017:212 (2017). (SCIE)
20. M.K. Jain, Sachin Sharma and R.K. Mohanty, High accuracy variable mesh method for nonlinear two-point boundary value problems in divergence form, Applied Mathematics and Computation, 273, 885-896 (2015). (SCI)