Bio-sketch
Dr. Sachin Sharma is an Assistant Professor at the Department of Mathematics, Netaji Subhas University 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 Department of Mathematics, University of Delhi. He also qualified CSIR-NET(JRF)-2011 and GATE-2010 in Mathematics. He has 5 years teaching experience in Mathematics and 10 years research experience in Numerical Analysis area. He has published 10 research papers in reputed 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 finite difference methods for second and fourth order 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. 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 (2016). (SCI, IF: 3.472)
2. 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, IF: 1.510)
3. 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)
4. 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, IF: 1.510)
5. 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, IF: 3.938)
6. 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, IF: 3.938)
7. 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)
8. 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)
9. R.K. Mohanty 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, IF: 3.938)
10. 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, IF: 1.322)