Some iterative schemes for nonlinear equations

In this paper, we suggest and analyze a class of new iterative method for solving nonlinear equations using a new decomposition technique. We show that three-step iterative method has fourth-order convergence. Several numerical examples are given to illustrate the efficiency and performance of the proposed three-step iterative method. Our results can be considered as an alternative to the recent three-step iterative schemes suggested by Noor and Noor [M. Aslam Noor, K. Inayat Noor, Three-step iterative methods for nonlinear equations, Appl. Math. Comput., in press, doi:10.1016/j.amc.2006.05.055].