Derivation of the Adomian decomposition method using the homotopy analysis method

被引：99
|
作者：
Allan, Fathi M. [1 ]
机构：
[1] United Arab Emirates Univ, Dept Math Sci, Al Ain, U Arab Emirates
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2007年 / 190卷 / 01期
关键词：
adomian decomposition method; homotopy analysis method; error analysis; convergence criteria;
D O I：
10.1016/j.amc.2006.12.074
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Adomian decomposition method has been used intensively to solve nonlinear boundary and initial value problems. it has been proved to be very efficient in generating series solutions of the problem under consideration under the assumption that such series solution exits. However, very little has been done to address the mathematical foundation of the method and its error analysis. In this article the mathematical derivation of the method using the homotopy analysis method is presented. In addition, an error analysis is addressed as well as the convergence criteria. (c) 2007 Elsevier Inc. All rights reserved.
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页码：6 / 14
页数：9
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