Vikas Gupta
VIDWAN ID: 242824

Dr Vikas Gupta

Male Doctor of Philosophy
Rajasthan
Expertise: Applied Mathematics
43 Publications
0 Projects
898 Scopus Citations
702 CrossRef
Publications
43 Total
Articles
42
Chapters
1
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Scopus Scopus
898 Citations
17 h-index
CrossRef CrossRef
702 Citations
16 h-index
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Doctor of Philosophy
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Physical Sciences
Applied Mathematics

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Scholarly Publications

An accurate operational matrix method based on Lagrange polynomials for solving fractional-order pantograph delay and Riccati differential equations

Open Access
Journal Article
Physica Scripta. Year: 2023. Volume: 98 , Issue: 4 .
Authors: Saurabh Kumar; Vikas Gupta; Ajay Kumar; J F Gómez-Aguilar

A Numerical Approach to Solve the System of Fractional Fredholm–Volterra Integro-Differential Equations Using Rationalized Haar Wavelets

Journal Article
MATHEMATICAL METHODS IN THE APPLIED SCIENCES. Year: 2025. Volume: 48 , Issue: 11 , Pages: 11067-11088 .
Authors: Ajay Kumar; Vikas Gupta; Saurabh Kumar

Exponential B-spline collocation method with Richardson extrapolation for generalized Black-Scholes equation

Journal Article
Journal of Applied Mathematics and Computing. Year: 2025. Volume: 71 , Issue: 3 , Pages: 3965-3995 .
Authors: Shobha Mangal; Vikas Gupta

Optimally accurate second-order numerical scheme on layer-resolving graded mesh for singularly-perturbed boundary turning point problems exhibiting power-of-type-1 and hybrid layers

Journal Article
International Journal of Computer Mathematics. Year: 2025. Volume: 102 , Issue: 3 , Pages: 435-448 .
Authors: V. D. Liseikin; V. Gupta; S. K. Sahoo

Qualitative analysis of a novel HIV infection model of macrophage cells in Caputo fractional environment

Journal Article
Authors: Purnendu Sardar; Santosh Biswas; Krishna Pada Das; Vikas Gupta; Ilyas Khan; Gamal M. Ismail; S. Saleem

An Efficient Numerical Approach to Solve Fractional Coupled Boussinesq Equations

Journal Article
Journal of Computational and Nonlinear Dynamics. Year: 2024. Volume: 19 , Issue: 12 .
Authors: Saurabh Kumar; Vikas Gupta

An efficient collocation technique based on operational matrix of fractional-order Lagrange polynomials for solving the space-time fractional-order partial differential equations

Journal Article
Applied Numerical Mathematics. Year: 2024. Volume: 204 , Pages: 249-264 .
Authors: Saurabh Kumar; Vikas Gupta; Dia Zeidan

Collocation method with Lagrange polynomials for variable-order time-fractional advection–diffusion problems

Journal Article
MATHEMATICAL METHODS IN THE APPLIED SCIENCES. Year: 2024. Volume: 47 , Issue: 2 , Pages: 1113-1131 .
Authors: Saurabh Kumar; Vikas Gupta
Showing 1 to 8 of 43 publications