A second-order linearized difference scheme for a strongly coupled reaction-diffusion system

被引：3

作者：

Cao, Hai-Yan ^{[1
]}

Sun, Zhi-Zhong ^{[1
]}

机构：

[1] SE Univ, Dept Math, Nanjing 210096, Peoples R China

来源：

NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS | 2008年 / 24卷 / 01期

关键词：

strongly coupled; reaction-diffusion; finite difference; solvability; convergence;

D O I：

10.1002/num.20232

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This article deals with the numerical solution to some models described by the system of strongly coupled reaction-diffusion equations with the Neumann boundary value conditions. A linearized three-level scheme is derived by the method of reduction of order. The uniquely solvability and second-order convergence in L-2-norm are proved by the energy method. A numerical example is presented to demonstrate the accuracy and efficiency of the proposed method. (c) 2007 Wiley Periodicals, Inc.

引用

页码：9 / 23

页数：15

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