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 …

Uniform convergent solution of singularly perturbed parabolic differential equations with general temporal-lag

NT Negero, GF Duressa - Iranian Journal of Science and Technology …, 2022 - Springer
In this paper, we presented a parameter uniform B-spline collocation nonstandard finite
difference scheme for a class of singularly perturbed parabolic one-dimensional convection …

[HTML][HTML] A method of line with improved accuracy for singularly perturbed parabolic convection–diffusion problems with large temporal lag

NT Negero, GF Duressa - Results in Applied Mathematics, 2021 - Elsevier
A robust numerical scheme is proposed to solve singularly perturbed large time-delay
parabolic convection–diffusion problems. For domain discretization, the backward-Euler …

[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 fourth-order numerical scheme for singularly perturbed delay parabolic problem arising in population dynamics

L Govindarao, J Mohapatra, A Das - Journal of Applied Mathematics and …, 2020 - Springer
This article presents a higher-order parameter uniformly convergent method for a singularly
perturbed delay parabolic reaction–diffusion initial-boundary-value problem. For the …

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 …

An explicit fourth-order compact numerical scheme for heat transfer of boundary layer flow

Y Nawaz, MS Arif, W Shatanawi, A Nazeer - Energies, 2021 - mdpi.com
The main contribution of this article is to propose a compact explicit scheme for solving time-
dependent partial differential equations (PDEs). The proposed explicit scheme has an …

[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 …

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 efficient numerical approach for singularly perturbed parabolic convection-diffusion problems with large time-lag

N Negero, G Duressa - Journal of Mathematical Modeling, 2022 - jmm.guilan.ac.ir
In this paper, an efficient finite difference method is presented for solving singularly
perturbed linear second order parabolic problems with large time lag. The comparable …