A Fifth-Order Iterative Method for Solving Nonlinear Equations

被引：11

作者：

Rafiullah, M. ^{[1
]}

机构：

[1] COMSATS Inst Informat Technol, Dept Math, \, Lahore, Pakistan

来源：

NUMERICAL ANALYSIS AND APPLICATIONS | 2011年 / 4卷 / 03期

关键词：

homotopy perturbation method; nonlinear equations; iterative methods; convergence nalysis; root finding techniques;

D O I：

10.1134/S1995423911030062

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The object of this paper is to construct a new efficient iterative method for solving nonlinear equations. This method is mainly based on Javidi paper [1] by using a new scheme of a modified homotopy perturbation method. This new method is of the fifth order of convergence, and it is compared with the second-, third-, fifth-, and sixth-order methods. Some numerical test problems are given to show the accuracy and fast convergence of the method proposed.

引用

页码：239 / 243

页数：5

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