A New Sixth-Order Steffensen-Type Iterative Method for Solving Nonlinear Equations

被引：2
|
作者：
Eftekhari, Tahereh [1 ]
机构：
[1] Univ Sistan & Baluchestan, Fac Math, Zahedan 98798155, Iran
来源：
INTERNATIONAL JOURNAL OF ANALYSIS | 2014年
关键词：
D O I：
10.1155/2014/685796
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Based on iterative method proposed by Basto et al. (2006), we present a new derivative- free iterative method for solving nonlinear equations. The aim of this paper is to develop a new method to find the approximation of the root alpha of the nonlinear equation f(x) = 0. This method has the efficiency index which equals 6(1/4) = 1.5651. The benefit of this method is that this method does not need to calculate any derivative. Several examples illustrate that the efficiency of the new method is better than that of previous methods.
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页数：5
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