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 …

Novel Numerical Scheme for Singularly Perturbed Time Delay Convection‐Diffusion Equation

MM Woldaregay, WT Aniley… - … in Mathematical Physics, 2021 - Wiley Online Library
This paper deals with numerical treatment of singularly perturbed parabolic differential
equations having large time delay. The highest order derivative term in the equation is …

[HTML][HTML] A uniformly convergent numerical scheme for two parameters singularly perturbed parabolic convection–diffusion problems with a large temporal lag

NT Negero - Results in Applied Mathematics, 2022 - Elsevier
In the present paper, an exponentially fitted numerical scheme is constructed and analyzed
for solving singularly perturbed two-parameter parabolic problems with large temporal lag …

A second order fractional step hybrid numerical algorithm for time delayed singularly perturbed 2D convection-diffusion problems

S Priyadarshana, J Mohapatra, SR Pattanaik - Applied Numerical …, 2023 - Elsevier
The objective of this work is to provide an efficient and higher-order numerical scheme for
the solution of a singularly perturbed 2D time-delayed parabolic convection-diffusion …

A Uniformly Convergent Collocation Method for Singularly Perturbed Delay Parabolic Reaction‐Diffusion Problem

FW Gelu, GF Duressa - Abstract and applied analysis, 2021 - Wiley Online Library
In this article, a numerical solution is proposed for singularly perturbed delay parabolic
reaction‐diffusion problem with mixed‐type boundary conditions. The problem is discretized …

Parameter uniform optimal order numerical approximations for time-delayed parabolic convection diffusion problems involving two small parameters

S Priyadarshana, J Mohapatra, SR Pattanaik - Computational and Applied …, 2022 - Springer
The purpose of this work is to provide robust numerical scheme for singularly perturbed time
delay (large) convection-reaction-diffusion problem with two small parameters. The work …

Uniformly convergent computational method for singularly perturbed time delayed parabolic differential-difference equations

J Mohapatra, S Priyadarshana… - Engineering …, 2023 - emerald.com
Purpose The purpose of this work is to introduce an efficient, global second-order accurate
and parameter-uniform numerical approximation for singularly perturbed parabolic …

An improved time accurate numerical estimation for singularly perturbed semilinear parabolic differential equations with small space shifts and a large time lag

S Priyadarshana, J Mohapatra, SR Pattanaik - … and Computers in …, 2023 - Elsevier
The objective of this work is to provide a robust numerical scheme for solving a singularly
perturbed semilinear parabolic differential–difference equation having both time delay along …

Extended cubic B‐spline collocation method for singularly perturbed parabolic differential‐difference equation arising in computational neuroscience

IT Daba, GF Duressa - International journal for Numerical …, 2021 - Wiley Online Library
A parameter uniform numerical method is presented for solving singularly perturbed
parabolic differential‐difference equations with small shift arguments in the reaction terms …

An efficient numerical approximation for mixed singularly perturbed parabolic problems involving large time-lag

S Priyadarshana, J Mohapatra - Indian Journal of Pure and Applied …, 2023 - Springer
The objective of this work is to provide an efficient numerical scheme for solving singularly
perturbed parabolic convection-diffusion problems with a large time lag having Robin-type …