Journal of Applied Mathematics
Volume 2012 (2012), Article ID 751975, 15 pages
http://dx.doi.org/10.1155/2012/751975
Research Article
On a New Method for Computing the Numerical Solution of Systems of Nonlinear Equations
1Department of Mathematics, Islamic Azad University, Sirjan Branch, Sirjan, Iran
2Department of Mathematics, Islamic Azad University, Zahedan Branch, Zahedan, Iran
3Department of Mathematics, University of Venda, Private Bag X5050, Thohoyandou 0950, South Africa
4School of Mathematical Sciences, University of KwaZulu-Natal, Private Bag X01, Pietermaritzburg 3209, South Africa
Received 22 June 2012; Revised 17 August 2012; Accepted 27 August 2012
Academic Editor: Changbum Chun
Copyright © 2012 H. Montazeri et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Abstract
We consider a system of nonlinear equations . A new iterative method for solving this problem numerically is suggested. The analytical discussions of the method are provided to reveal its sixth order of convergence. A discussion on the efficiency index of the contribution with comparison to the other iterative methods is also given. Finally, numerical tests illustrate the theoretical aspects using the programming package Mathematica.