A method of line with improved accuracy for singularly perturbed parabolic convection-diffusion problems with large temporal lag

被引：26

作者：

Negero, Naol Tufa ^{[1
]}

Duressa, Gemechis File ^{[2
]}

机构：

[1] Wollega Univ, Dept Math, Nekemte, Ethiopia

[2] Jimma Univ, Dept Math, Jimma, Ethiopia

来源：

RESULTS IN APPLIED MATHEMATICS | 2021年 / 11卷

关键词：

Parabolic convection-diffusion problems; Time delay; Method of lines; Uniform convergence; BOUNDARY-VALUE-PROBLEMS; FINITE-ELEMENT METHODS; NUMERICAL SCHEME; GALERKIN METHOD; DELAY;

D O I：

10.1016/j.rinam.2021.100174

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A robust numerical scheme is proposed to solve singularly perturbed large time-delay parabolic convection-diffusion problems. For domain discretization, the backward-Euler method for the time derivative and Micken's type discretization for the space derivatives are used. Using a Richardson extrapolation technique the e-uniform accuracy of the method is improved to second order convergences. We present numerical examples to confirm the agreement of the numerical methods with the theoretical results. The proposed numerical scheme is parameter-uniform convergent, more accurate and robust. (C) 2021 The Author(s). Published by Elsevier B.V.

引用

页数：13

共 33 条

[1] NON-LINEAR STOCHASTIC DIFFERENTIAL DELAY EQUATIONS [J].