A new iterative method for solving nonlinear equations

被引：35

作者：

Chun, Changbum ^{[1
]}

机构：

[1] Korea Univ Technol & Educ, Sch Liberal Arts & Educ, Chungnam 330708, South Korea

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2006年 / 178卷 / 02期

关键词：

nonlinear equations; Newton-Raphson method; Adomian decomposition method; Adomian's polynomials; order of convergence;

D O I：

10.1016/j.amc.2005.11.055

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we present a new efficient iterative method for solving nonlinear equations improving Newton-Raphson method. This method is based on a modification of the proposal of Abbasbandy on improving the order of accuracy of Newton-Raphson method [S. Abbasbandy, Improving Newton-Raphson method for nonlinear equations by modified Adomian decomposition method, Appl. Math. Comput. 145 (2003) 887-893]. The convergence properties of the method and some other methods are discussed. Some numerical illustrations are given to show that the proposed method behaves equal or better performance compared to the other methods of same kind. (c) 2005 Elsevier Inc. All rights reserved.

引用

页码：415 / 422

页数：8

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