SOME NEW ITERATIVE ALGORITHMS BY USING HOMOTOPY PERTURBATION METHOD FOR SOLVING NONLINEAR ALGEBRAIC EQUATIONS

In this paper, four new iterative methods for solving nonlinear algebraic equations are presented. The present iterative formulas are based on the He's homotopy perturbation method (HPM) and on the several new iterative methods for solving nonlinear algebraic equations incorporating homotopy perturbation method (HPM) of M. M. Sehati1 et al. [1]. Several examples are presented and compared to other methods, showing the accuracy and fast convergence of the presented method and we showed that our methods is more quickly convergent than another methods.