Kamalesh Kumar

A graded mesh refinement approach for boundary layer originated singularly perturbed time‐delayed parabolic convection diffusion problems

Kamalesh Kumar, P. Pramod Chakravarthy, Pratibhamoy Das et al. · Mathematical Methods in the Applied Sciences · 2021 · 83 citations · Full text

Numerical Analysis, Method Of Fundamental Solution, Perturbation Parameter +10

Numerical solution of time‐fractional singularly perturbed convection–diffusion problems with a delay in time

Kamalesh Kumar, P. Pramod Chakravarthy, J. Vigo‐Aguiar · Mathematical Methods in the Applied Sciences · 2020 · 25 citations

Numerical Analysis, Fractional-order System, Singularly Perturbed Problem +8

A new stable finite difference scheme and its convergence for time-delayed singularly perturbed parabolic PDEs

P. Pramod Chakravarthy, Kamalesh Kumar · Computational and Applied Mathematics · 2020 · 25 citations

Numerical Analysis, Engineering, Parabolic Pdes +6

A Novel Method for Singularly Perturbed Delay Differential Equations of Reaction-Diffusion Type

P. Pramod Chakravarthy, Kamalesh Kumar · Differential Equations and Dynamical Systems · 2017 · 21 citations

Numerical Analysis, Time Delay System, Novel Method +5

An adaptive mesh method for time dependent singularly perturbed differential-difference equations

P. Pramod Chakravarthy, Kamalesh Kumar · Nonlinear Engineering · 2018 · 20 citations · Full text

Numerical Analysis, Method Of Fundamental Solution, Differential-difference Convection-diffusion Equation +15