Some New Iterative Methods for Nonlinear Equations

We suggest and analyze some new iterative methods for solving the nonlinear equations f(x)=0 using the decomposition technique coupled with the system of equations. We prove that new methods have convergence of fourth order. Several numerical examples are given to illustrate the efficiency and pe...

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Bibliographic Details
Main Authors: Muhammad Aslam Noor, Khalida Inayat Noor, Eisa Al-Said, Muhammad Waseem
Format: Article
Language:English
Published: Hindawi Limited 2010-01-01
Series:Mathematical Problems in Engineering
Online Access:http://dx.doi.org/10.1155/2010/198943
Description
Summary:We suggest and analyze some new iterative methods for solving the nonlinear equations f(x)=0 using the decomposition technique coupled with the system of equations. We prove that new methods have convergence of fourth order. Several numerical examples are given to illustrate the efficiency and performance of the new methods. Comparison with other similar methods is given.
ISSN:1024-123X
1563-5147