An algorithm for Adomian decomposition method

被引：52

作者：

Chen, WH ^{[1
]}

Lu, ZY

机构：

[1] Wenzhou Normal Coll, Dept Math, Wenzhou 325003, Zhejiang, Peoples R China

[2] Acad Sinica, Inst Comp Applicat, Chengdu 610041, Peoples R China

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2004年 / 159卷 / 01期

基金：

中国国家自然科学基金;

关键词：

adomian decomposition method; adomian polynomials; symbolic computation; differential equations;

D O I：

10.1016/j.amc.2003.10.037

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, a reliable technique for calculating Adomian polynomials for nonlinear operators is developed. The algorithm is fulfilled with symbolic computation, so that the Adomian decomposition methods for solving differential equations can be mechanized in Maple. Ten examples are presented to illustrate the implementation of the program. (C) 2003 Elsevier Inc. All rights reserved.

引用

页码：221 / 235

页数：15

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