High order iterative methods without derivatives for solving nonlinear equations

被引：23
|
作者：
Feng, Xinlong
He, Yinnian [1 ]
机构：
[1] Xi An Jiao Tong Univ, Fac Sci, Xian 710049, Peoples R China
[2] Xinjiang Univ, Dept Math, Urumqi 830046, Peoples R China
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2007年 / 186卷 / 02期
关键词：
nonlinear equation; iterative method; homotopy perturbation method; Newton method;
D O I：
10.1016/j.amc.2006.08.070
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The new second-order and third-order iterative methods without derivatives are presented for solving nonlinear equations; the iterative formulae based on the homotopy perturbation method are deduced and their convergences are provided. Finally, some numerical experiments show the efficiency of the theoretical results for the above methods. (c) 2006 Elsevier Inc. All rights reserved.
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页码：1617 / 1623
页数：7
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