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 …
equations having large time delay. The highest order derivative term in the equation is …
[HTML][HTML] Fitted exact difference method for solutions of a singularly perturbed time delay parabolic PDE
MM Woldaregay, TW Hunde, VN Mishra - Partial Differential Equations in …, 2023 - Elsevier
A novel numerical method has been proposed for solving singularly perturbed parabolic
time delay PDE by using a fitted mesh exact finite difference method. The traditional …
time delay PDE by using a fitted mesh exact finite difference method. The traditional …
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 …
singularly perturbed pseudo-parabolic problems with time-delay. Using the energy …
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 …
perturbed parabolic convection-diffusion problems with a large time lag having Robin-type …
[HTML][HTML] A robust higher-order fitted mesh numerical method for solving singularly perturbed parabolic reaction-diffusion problems
In this study, a robust higher-order numerical method for solving singularly perturbed
parabolic reaction-diffusion problems is presented. The Crank-Nicolson method is applied to …
parabolic reaction-diffusion problems is presented. The Crank-Nicolson method is applied to …
A uniformly convergent numerical scheme for solving singularly perturbed differential equations with large spatial delay
In this study, a parameter-uniform numerical scheme is built and analyzed to treat a
singularly perturbed parabolic differential equation involving large spatial delay. The …
singularly perturbed parabolic differential equation involving large spatial delay. The …
An efficient uniformly convergent numerical scheme for singularly perturbed semilinear parabolic problems with large delay in time
This paper introduces a parameter uniform numerical approach for semilinear singularly
perturbed partial differential equations with time delay. The semilinear property is treated …
perturbed partial differential equations with time delay. The semilinear property is treated …
A novel numerical approach for singularly perturbed parabolic convection-diffusion problems on layer-adapted meshes
F Wondimu Gelu, GF Duressa - Research in Mathematics, 2022 - Taylor & Francis
Layer adaptive meshes are developed in order to solve a class of singularly perturbed
parabolic convection-diffusion Robin type problems. To discretize the problem, an upwind …
parabolic convection-diffusion Robin type problems. To discretize the problem, an upwind …
Numerical investigation of time delay parabolic differential equation involving two small parameters
SR Sahu, J Mohapatra - Engineering Computations, 2021 - emerald.com
Purpose The purpose of this study is to provide a robust numerical method for a two
parameter singularly perturbed delay parabolic initial boundary value problem (IBVP) …
parameter singularly perturbed delay parabolic initial boundary value problem (IBVP) …
Fitted mesh numerical scheme for singularly perturbed delay reaction diffusion problem with integral boundary condition
GM Wondimu, TG Dinka, M Woldaregay… - Computational …, 2023 - cmde.tabrizu.ac.ir
This article presents a numerical treatment of the singularly perturbed delay reaction
diffusion problem with an integral boundary condition. In the considered problem, a small …
diffusion problem with an integral boundary condition. In the considered problem, a small …