Kamalesh Kumar
Kamalesh Kumar
Assistant Professor, Department of Mathematics, VIT-AP University
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A graded mesh refinement approach for boundary layer originated singularly perturbed time‐delayed parabolic convection diffusion problems
K Kumar, PC Podila, P Das, H Ramos
Mathematical Methods in the Applied Sciences 44 (16), 12332-12350, 2021
A new stable finite difference scheme and its convergence for time-delayed singularly perturbed parabolic PDEs
PC Podila, K Kumar
Computational and Applied Mathematics 39, 1-16, 2020
An adaptive mesh method for time dependent singularly perturbed differential-difference equations
P Pramod Chakravarthy, K Kumar
Nonlinear Engineering 8 (1), 328-339, 2019
Numerical solution of time‐fractional singularly perturbed convection–diffusion problems with a delay in time
K Kumar, PP Chakravarthy, J Vigo‐Aguiar
Mathematical Methods in the Applied Sciences, 2020
A novel method for singularly perturbed delay differential equations of reaction-diffusion type
PP Chakravarthy, K Kumar
Differential Equations and Dynamical Systems 29, 723-734, 2021
A stable finite difference scheme and error estimates for parabolic singularly perturbed PDEs with shift parameters
K Kumar, PP Chakravarthy, H Ramos, J Vigo-Aguiar
Journal of Computational and Applied Mathematics 405, 113050, 2022
An adaptive mesh selection strategy for solving singularly perturbed parabolic partial differential equations with a small delay
K Kumar, T Gupta, P Pramod Chakravarthy, R Nageshwar Rao
Applied Mathematics and Scientific Computing: International Conference on …, 2019
A new stable finite difference scheme and its error analysis for two‐dimensional singularly perturbed convection–diffusion equations
K Kumar, PC Podila
Numerical Methods for Partial Differential Equations 38 (5), 1215-1231, 2022
A class of finite difference schemes for singularly perturbed delay differential equations of second order
PC Podila, K Kumar
Turkish Journal of Mathematics 43 (3), 1061-1079, 2019
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