A high order robust numerical scheme for singularly perturbed delay parabolic convection diffusion problems

被引：15

作者：

Babu, Gajendra ^{[1
]}

Bansal, Komal ^{[2
]}

机构：

[1] South Asian Univ, Dept Math, New Delhi, India

[2] Panjab Univ, Dev Samaj Coll Women, Chandigarh, India

来源：

JOURNAL OF APPLIED MATHEMATICS AND COMPUTING | 2022年 / 68卷 / 01期

关键词：

Non standard finite difference method; Richardson extrapolation; Time delay; Convection diffusion; Parabolic PDEs; Implicit Euler’ s scheme;

D O I：

10.1007/s12190-021-01512-1

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, a robust non standard numerical scheme has been analysed for singularly perturbed parabolic convection-diffusion problems with time delay. The numerical scheme comprises of implicit Euler method, Richardson extrapolation technique and non standard techniques developed by Mickens. Parameter uniform estimates for stability and consistency have been proved. Numerical experiments have been carried out to corroborate the theoretical results.

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收藏

页码：363 / 389

页数：27

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