Newton-homotopy analysis method for nonlinear equations

被引：74
作者：
Abbasbandy, S. [1 ]
Tan, Y.
Liao, S. J.
机构：
[1] Imam Khomeini Int Univ, Dept Math, Ghazvin 34194, Iran
[2] Shanghai Jiao Tong Univ, Sch Naval Architecture Ocean & Civil Engn, Shanghai 200030, Peoples R China
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2007年 / 188卷 / 02期
关键词：
Newton-Raphson method; homotopy analysis method; Adomian's decomposition method; homotopy perturbation method;
D O I：
10.1016/j.amc.2006.11.136
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we present an efficient numerical algorithm for solving nonlinear algebraic equations based on Newton-Raphson method and homotopy analysis method. Also, we compare homotopy analysis method with Adomian's decomposition method and homotopy perturbation method. Some numerical illustrations are given to show the efficiency of algorithm. (c) 2006 Elsevier Inc. All rights reserved.
引用
收藏
页码：1794 / 1800
页数：7
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