Parameter uniform higher order numerical treatment for singularly perturbed Robin type parabolic reaction diffusion multiple scale problems with large delay in time

S Saini, P Das, S Kumar - Applied Numerical Mathematics, 2024 - Elsevier
In this paper, we address a class of boundary layer originated singularly perturbed parabolic
reaction-diffusion problems with Robin boundary conditions having large time delay; for the …

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

K Kumar, PC Podila, P Das… - Mathematical Methods in …, 2021 - Wiley Online Library
In this work, we consider a graded mesh refinement algorithm for solving time‐delayed
parabolic partial differential equations with a small diffusion parameter. The presence of this …

Numerical treatment of two‐parameter singularly perturbed parabolic convection diffusion problems with non‐smooth data

M Chandru, P Das, H Ramos - Mathematical Methods in the …, 2018 - Wiley Online Library
In the present work, we consider a parabolic convection‐diffusion‐reaction problem where
the diffusion and convection terms are multiplied by two small parameters, respectively. In …

A theoretical study of the fractional-order p-Laplacian nonlinear Hadamard type turbulent flow models having the Ulam–Hyers stability

HM Srivastava, AK Nain, RK Vats, P Das - Revista de la Real Academia de …, 2023 - Springer
In this article, we study the solvability properties of some nonlinear Hadamard type nonlocal
turbulent flow models in porous medium involving the p-Laplacian operator. Based on a …

A perturbation-based approach for solving fractional-order Volterra–Fredholm integro differential equations and its convergence analysis

P Das, S Rana, H Ramos - International Journal of Computer …, 2020 - Taylor & Francis
The present work considers the approximation of solutions of a type of fractional-order
Volterra–Fredholm integro-differential equations, where the fractional derivative is …

Higher order accurate approximations on equidistributed meshes for boundary layer originated mixed type reaction diffusion systems with multiple scale nature

P Das, S Rana, J Vigo-Aguiar - Applied numerical mathematics, 2020 - Elsevier
In the present research, we consider a boundary layer originated system of reaction diffusion
problems whose boundary conditions are of mixed type. This problem is singularly …

Computational cost reduction for coupled system of multiple scale reaction diffusion problems with mixed type boundary conditions having boundary layers

S Saini, P Das, S Kumar - Revista de la Real Academia de Ciencias …, 2023 - Springer
In this article, we consider the computational cost reduction of approximating a coupled
system of time variant multiscale parameterized problems with mixed type conditions, in …

A moving mesh refinement based optimal accurate uniformly convergent computational method for a parabolic system of boundary layer originated reaction–diffusion …

D Shakti, J Mohapatra, P Das, J Vigo-Aguiar - Journal of Computational …, 2022 - Elsevier
In this paper, a system of time dependent boundary layer originated reaction dominated
problems with diffusion parameters of different magnitudes, is considered for numerical …

A higher order difference method for singularly perturbed parabolic partial differential equations

P Das - Journal of Difference Equations and Applications, 2018 - Taylor & Francis
This paper studies a higher order numerical method for the singularly perturbed parabolic
convection-diffusion problems where the diffusion term is multiplied by a small perturbation …

An a posteriori based convergence analysis for a nonlinear singularly perturbed system of delay differential equations on an adaptive mesh

P Das - Numerical Algorithms, 2019 - Springer
The present work considers a nonlinear system of singularly perturbed delay differential
equation whose each component of the solution has multiple layers. Here, we provide an a …