He's variational iteration method for solving linear and non-linear systems of ordinary differential equations

被引：50
作者：
Biazar, J. [1 ]
Ghazvini, H. [2 ]
机构：
[1] Univ Guilan, Fac Sci, Dept Math, Rasht 41938, Iran
[2] Shahrood Univ Technol, Sch Math Sci, Dept Math, Shahrood 3619995161, Iran
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2007年 / 191卷 / 01期
关键词：
He's variational iteration method; system of ordinary differential equations;
D O I：
10.1016/j.amc.2007.02.153
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this article, He's variational iteration method (VIM) is employed to solve a system of differential equations of first order. Since every ordinary differential equations of higher order can be converted into a system of differential of the first order, this method can be used for solving most differential equations. Some examples are presented to show the ability of the method for linear and non-linear systems of differential equations. The results reveal that the method is very effective and simple. (c) 2007 Published by Elsevier Inc.
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收藏
页码：287 / 297
页数：11
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