Revisit on partial solutions in the Adomian decomposition method: Solving heat and wave equations

被引：25
|
作者：
Luo, Xing-Guo [1 ]
Wu, Qing-Biao
Zhang, Bing-Quan
机构：
[1] Zhejiang Univ, Dept Math, Hangzhou 310027, Peoples R China
[2] Zhejiang Univ, Dept Math, Hangzhou 310028, Peoples R China
[3] Zhejiang Univ Technol, Zhijiang Coll, Dept Math, Hangzhou 310024, Peoples R China
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2006年 / 321卷 / 01期
关键词：
adomian decomposition method; heat equations; wave equations;
D O I：
10.1016/j.jmaa.2005.08.043
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The Adomian decomposition method is considered in application to heat and wave equations. The so-called partial solution technique is used. It is shown that the fundamental equation of the method is well defined only for certain types of boundary conditions. In cases involving inhomogeneous boundary conditions, improper results may be obtained by former method. This paper presents a further insight into partial solutions in the decomposition method, and the resolution of such cases. (c) 2005 Elsevier Inc. All rights reserved.
引用
收藏
页码：353 / 363
页数：11
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