A numerical solution of the Korteweg-de Vries equation by pseudospectral method using Darvishi's preconditionings

被引：15
|
作者：
Darvishi, M. T. [1 ]
Kheybari, S. [1 ]
Khani, F. [1 ]
机构：
[1] Razi Univ, Dept Math, Kermanshah 67149, Iran
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2006年 / 182卷 / 01期
关键词：
the Korteweg-de Vries equation; pseudospectral method; Darvishi's preconditionings;
D O I：
10.1016/j.amc.2006.03.039
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, the Korteweg-de Vries equation is solved by pseudospectral method. In pseudospectral method we have to use matrix vector multiplication to compute derivative(s) of the unknown function. To reduce roundoff error in this multiplication we use Darvishi's preconditionings. The numerical results have been compared with the exact solution. They are in good agreement with each other because graphs of exact solution and numerical solutions are very similar. (c) 2006 Elsevier Inc. All rights reserved.
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页码：98 / 105
页数：8
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