A note on nonstandard finite difference schemes for reaction-diffusion equations having linear advection

被引：1

作者：

Cui, MR ^{[1
]}

机构：

[1] Shandong Univ, Sch Math & Syst Sci, Jinan 250100, Peoples R China

来源：

JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS | 2004年 / 10卷 / 07期

关键词：

nonstandard finite difference scheme; reaction-diffusion equation; error analysis; positivity;

D O I：

10.1080/10236190410001667931

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Nonstandard modified upwind difference scheme for one dimensional nonlinear reaction-diffusion equation with linear advection is given in this note. The use of a positivity condition allows the determination of a functional relation between the time and space step sizes, and it is weaker than that of the corresponding simple upwind difference scheme. Error estimate in the discrete l(infinity) norm is provided under suitable assumptions.

引用

页码：705 / 709

页数：5

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