Solution of the system of ordinary differential equations by Adomian decomposition method

被引：108

作者：

Biazar, J

Babolian, E

Islam, R

机构：

[1] Guilan Univ, Rasht, Iran

[2] Teacher Training Univ, Tehran, Iran

[3] Dalhousie Univ, Dept Civil Engn, Halifax, NS B3J 2X4, Canada

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2004年 / 147卷 / 03期

基金：

加拿大自然科学与工程研究理事会;

关键词：

adomian decomposition method; systems of ordinary differential equations;

D O I：

10.1016/S0096-3003(02)00806-8

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this article we use Adomian decomposition method, which is a well-known method for solving functional equations now-a-days, to solve systems of differential equations of the first order and an ordinary differential equation of any order by converting it into a system of differential of the order one. Theoretical considerations are being discussed, and convergence of the method for theses systems is addressed. Some examples are presented to show the ability of the method for linear and non-linear systems of differential equations. (C) 2002 Elsevier Inc. All rights reserved.

引用

页码：713 / 719

页数：7