On a New Iterative Scheme without Memory with Optimal Eighth Order-Reference-Cited by-同舟云学术

On a New Iterative Scheme without Memory with Optimal Eighth Order

Published:2014 Issue: Volume:2014 Page:1-6
ISSN:2356-6140
Container-title:The Scientific World Journal
language:en
Short-container-title:The Scientific World Journal

Author:

Sharifi M.¹,Karimi Vanani S.¹,Khaksar Haghani F.¹,Arab M.¹,Shateyi S.²

Affiliation:

1. Department of Mathematics, Islamic Azad University, Shahrekord Branch, Shahrekord, Iran

2. Department of Mathematics and Applied Mathematics, University of Venda, Thohoyandou 0950, South Africa

Abstract

The purpose of this paper is to derive and discuss a three-step iterative expression for solving nonlinear equations. In fact, we derive a derivative-free form for one of the existing optimal eighth-order methods and preserve its convergence order. Theoretical results will be upheld by numerical experiments.

Publisher

Hindawi Limited

Subject

General Environmental Science,General Biochemistry, Genetics and Molecular Biology,General Medicine

Link

http://downloads.hindawi.com/journals/tswj/2014/727490.pdf

Reference11 articles.

1. Low-complexity root-finding iteration functions with no derivatives of any order of convergence

2. Optimal Order of One-Point and Multipoint Iteration

3. Eighth-order methods with high efficiency index for solving nonlinear equations

4. Numerical solution of nonlinear equations by an optimal eighth-order class of iterative methods

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