Some iterative methods for solving nonlinear equations using homotopy perturbation method

In this paper, we use a new modified homotopy perturbation method to suggest and analyse a class of iterative methods for solving nonlinear equations. This new modification of the homotopy method is quite flexible. These new methods include the two-step Newton method as a special case. We show that these new methods are of fourth-order convergent method. Several examples are given to illustrate the efficiency and robustness of these methods.