SOME HIGH ORDER ITERATIVE METHODS FOR NONLINEAR EQUATIONS BASED ON THE MODIFIED HOMOTOPY PERTURBATION METHODS

摘要

In this paper, we present some effcient iterative methods for solving nonlinear equation (systems of nonlinear equations, respectively) by using modifed homotopy perturbation methods. We also discuss the convergence criteria of the present methods. Some nu-merical examples are given to illustrate the performance and efciency of the proposed methods.