METODE ITERASI ORDE EMPAT DAN ORDE LIMA UNTUK MENYELESAIKAN PERSAMAAN NONLINEAR

Abstract

This article discusses the iterative methods derived by homotopy perturbation method to solve a nonlinear equation. Analytically using Taylor expansion and geometric series it is shown that the iterative methods have an order of convergence four and five. Numerical computations using four test functions show that one of the iterative methods is better than other discussed methods in terms of the number of iterations required to obtain the approximate root of the nonlinear equations.