Spectral collocation method and Darvishi's preconditionings to solve the generalized Burgers-Huxley equation

被引：58

作者：

Darvishi, M. T. ^{[1
]}

Kheybari, S. ^{[1
]}

Khani, F. ^{[2
]}

机构：

[1] Razi Univ, Dept Math, Kermanshah 67149, Iran

[2] Ilam Univ, Dept Math, Ilam, Iran

来源：

COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION | 2008年 / 13卷 / 10期

关键词：

the generalized Burgers-Huxley equation; spectral collocation method; matrix-vector multiplication method; error propagation; Darvishi's preconditionings;

D O I：

10.1016/j.cnsns.2007.05.023

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, a numerical solution of the generalized Burgers-Huxley equation is presented. This is the application of spectral collocation method. To reduce roundoff error in this method we use Darvishi's preconditionings. The numerical results obtained by this method have been compared with the exact solution. It can be seen that they are in a good agreement with each other, because errors are very small and figures of exact and numerical solutions are very similar. (c) 2007 Published by Elsevier B.V.

引用

页码：2091 / 2103

页数：13

共 15 条

[1] Spectral differencing with a twist [J].