Some new iterative methods for nonlinear equations

Abstract

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. Copyright © 2010 Muhammad Aslam Noor, et al.