A New Sixth-Order Steffensen-Type Iterative Method for Solving Nonlinear Equations
Author
Source
International Journal of Analysis
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-5, 5 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-02-12
Country of Publication
Egypt
No. of Pages
5
Main Subjects
Topics
Abstract EN
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 α of the nonlinear equation f(x)=0.
This method has the efficiency index which equals 61/4=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.
American Psychological Association (APA)
Eftekhari, Tahereh. 2014. A New Sixth-Order Steffensen-Type Iterative Method for Solving Nonlinear Equations. International Journal of Analysis،Vol. 2014, no. 2014, pp.1-5.
https://search.emarefa.net/detail/BIM-490488
Modern Language Association (MLA)
Eftekhari, Tahereh. A New Sixth-Order Steffensen-Type Iterative Method for Solving Nonlinear Equations. International Journal of Analysis No. 2014 (2014), pp.1-5.
https://search.emarefa.net/detail/BIM-490488
American Medical Association (AMA)
Eftekhari, Tahereh. A New Sixth-Order Steffensen-Type Iterative Method for Solving Nonlinear Equations. International Journal of Analysis. 2014. Vol. 2014, no. 2014, pp.1-5.
https://search.emarefa.net/detail/BIM-490488
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-490488
