Suivre
Vikas Gupta
Vikas Gupta
Professor of Mathematics, The LNM Institute of Information Technology, Jaipur 302 031
Adresse e-mail validée de lnmiit.ac.in - Page d'accueil
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Année
A brief survey on numerical methods for solving singularly perturbed problems
MK Kadalbajoo, V Gupta
Applied mathematics and computation 217 (8), 3641-3716, 2010
2322010
A uniformly convergent B-spline collocation method on a nonuniform mesh for singularly perturbed one-dimensional time-dependent linear convection–diffusion problem
MK Kadalbajoo, V Gupta, A Awasthi
Journal of Computational and Applied Mathematics 220 (1-2), 271-289, 2008
812008
A parameter-uniform higher order finite difference scheme for singularly perturbed time-dependent parabolic problem with two small parameters
V Gupta, MK Kadalbajoo, RK Dubey
International Journal of Computer Mathematics 96 (3), 474-499, 2019
762019
Higher order numerical approximation for time dependent singularly perturbed differential‐difference convection‐diffusion equations
V Gupta, M Kumar, S Kumar
Numerical Methods for Partial Differential Equations 34 (1), 357-380, 2018
552018
Numerical solution of singularly perturbed convection–diffusion problem using parameter uniform B-spline collocation method
MK Kadalbajoo, V Gupta
Journal of Mathematical Analysis and Applications 355 (1), 439-452, 2009
522009
A layer adaptive B‐spline collocation method for singularly perturbed one‐dimensional parabolic problem with a boundary turning point
V Gupta, MK Kadalbajoo
Numerical Methods for Partial Differential Equations 27 (5), 1143-1164, 2011
382011
Collocation method using artificial viscosity for solving stiff singularly perturbed turning point problem having twin boundary layers
MK Kadalbajoo, P Arora, V Gupta
Computers & Mathematics with Applications 61 (6), 1595-1607, 2011
362011
A singular perturbation approach to solve Burgers–Huxley equation via monotone finite difference scheme on layer-adaptive mesh
V Gupta, MK Kadalbajoo
Communications in Nonlinear Science and Numerical Simulation 16 (4), 1825-1844, 2011
352011
A parameter uniform B-spline collocation method for solving singularly perturbed turning point problem having twin boundary layers
MK Kadalbajoo, V Gupta
International Journal of Computer Mathematics 87 (14), 3218-3235, 2010
312010
Second-order parameter-uniform finite difference scheme for singularly perturbed parabolic problem with a boundary turning point
SK Sahoo, V Gupta
Journal of Difference Equations and Applications, 1-18, 2021
262021
An application of variational iteration method for solving fuzzy time-fractional diffusion equations
S Kumar, V Gupta
Neural Computing and Applications 33, 17659-17668, 2021
252021
A robust uniformly convergent finite difference scheme for the time-fractional singularly perturbed convection-diffusion problem
S Sahoo, V Gupta
Computers & Mathematics with Applications 137, 126-146, 2023
172023
An approach based on fractional-order Lagrange polynomials for the numerical approximation of fractional order non-linear Volterra-Fredholm integro-differential equations
S Kumar, V Gupta
Journal of Applied Mathematics and Computing, 2022
172022
An efficient operational matrix technique to solvethe fractional order non‑local boundary value problems
S Kumar, V Gupta, JF Gómez‑Aguilar
Journal of Mathematical Chemistry, 2022
162022
Robust higher order finite difference scheme for singularly perturbed turning point problem with two outflow boundary layers
V Gupta, SK Sahoo, RK Dubey
Computational and Applied Mathematics 40, 1-23, 2021
162021
A mesh refinement algorithm for singularly perturbed boundary and interior layer problems
RK Dubey, V Gupta
International Journal of Computational Methods 17 (07), 1950024, 2020
132020
Higher order robust numerical computation for singularly perturbed problem involving discontinuous convective and source term
SK Sahoo, V Gupta
Mathematical Methods in the Applied Sciences, 2022
122022
Qualitative analysis and numerical solution of Burgers’ equation via B-spline collocation with implicit Euler method on piecewise uniform mesh
V Gupta, MK Kadalbajoo
Journal of Numerical Mathematics 24 (2), 73-94, 2016
122016
Parameter robust higher-order finite difference method for convection-diffusion problem with time delay
SK Sahoo, G Vikas
Numerical Methods for Partial Differential Equations, 2023
92023
An accurate operational matrix method based on Lagrange polynomials for solving fractional-order pantograph delay and Riccati differential equations
S Kumar, V Gupta, A Kumar, JF Gómez-Aguilar
Physica Scripta 98 (4), 044005, 2023
92023
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