SOME HIGH ORDER ITERATIVE METHODS FOR NONLINEAR EQUATIONS BASED ON THE MODIFIED HOMOTOPY PERTURBATION METHODS

被引：0
|
作者：
Chen, Bilian [1 ,2 ]
Xie, Yajun [3 ]
Ma, Changfeng [1 ]
机构：
[1] Fujian Normal Univ, Sch Math & Comp Sci, Fuzhou 350007, Fujian, Peoples R China
[2] Chinese Univ Hong Kong, Dept Syst Engin Engin Manag, Shatin, Hong Kong, Peoples R China
[3] Fujian Jiangxia Coll, Dept Math, Fuzhou 350007, Fujian, Peoples R China
来源：
ASIAN-EUROPEAN JOURNAL OF MATHEMATICS | 2010年 / 3卷 / 03期
基金：
中国国家自然科学基金;
关键词：
Modified homotopy perturbation method; nonlinear equation; iterative methods; order of convergence; numerical examples;
D O I：
10.1142/S1793557110000349
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we present some efficient iterative methods for solving nonlinear equation (systems of nonlinear equations, respectively) by using modified homotopy perturbation methods. We also discuss the convergence criteria of the present methods. Some numerical examples are given to illustrate the performance and efficiency of the proposed methods.
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页码：395 / 408
页数：14
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