COMPUTATIONAL METHOD FOR SINGULARLY PERTURBED PARABOLIC REACTION-DIFFUSION EQUATIONS WITH ROBIN BOUNDARY CONDITIONS

被引：5

作者：

Gelu, Fasika Wondimu ^{[1
]}

Duressa, Gemechis File ^{[1
]}

机构：

[1] Jimma Univ, Coll Nat Sci, Dept Math, Jimma, Ethiopia

来源：

JOURNAL OF APPLIED MATHEMATICS & INFORMATICS | 2022年 / 40卷 / 1-2期

关键词：

Non-standard difference method; reaction-diffusion equations; Robin boundary conditions; parabolic boundary layers; FINITE-DIFFERENCE METHODS; NUMERICAL-METHOD; TIME;

D O I：

10.14317/jami.2022.025

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this study, the non-standard finite difference method for the numerical solution of singularly perturbed parabolic reaction-diffusion subject to Robin boundary conditions has presented. To discretize temporal and spatial variables, we use the implicit Euler and non-standard finite difference method on a uniform mesh, respectively. We proved that the proposed scheme shows uniform convergence in time with first-order and in space with second-order irrespective of the perturbation parameter. We compute three numerical examples to confirm the theoretical findings.

引用

页码：25 / 45

页数：21

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