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 …

A robust numerical method for a two-parameter singularly perturbed time delay parabolic problem

Sumit, S Kumar, Kuldeep, M Kumar - Computational and Applied …, 2020 - Springer
In this article, we consider a class of singularly perturbed two-parameter parabolic partial
differential equations with time delay on a rectangular domain. The solution bounds are …

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 …

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 …

[HTML][HTML] A numerical approach for a two-parameter singularly perturbed weakly-coupled system of 2-D elliptic convection–reaction–diffusion PDEs

C Clavero, R Shiromani, V Shanthi - Journal of Computational and Applied …, 2024 - Elsevier
In this work, we consider the numerical approximation of a two dimensional elliptic singularly
perturbed weakly-coupled system of convection–reaction–diffusion type, which has two …

High-order finite element method on a Bakhvalov-type mesh for a singularly perturbed convection–diffusion problem with two parameters

J Zhang, Y Lv - Applied Mathematics and Computation, 2021 - Elsevier
We investigate in this article convergence for ak th (k≥ 2) order finite element method on a
Bakhvalov-type mesh for a two-parameter singularly perturbed two-point boundary value …

Singularly perturbed problems with multi-tempo fast variables

GA Kurina, MA Kalashnikova - Automation and Remote Control, 2022 - Springer
The article contains a survey of publications studying problems characterized by the
presence of fast variables with various rates of change (time scales). We consider the …

A computational method for the singularly perturbed delay pseudo-parabolic differential equations on adaptive mesh

B Gunes, H Duru - International Journal of Computer Mathematics, 2023 - Taylor & Francis
This paper aims to establish the finite difference scheme on Bakhvalov-type mesh for the
singularly perturbed pseudo-parabolic problems with time-delay. Using the energy …