Fourth order iterative methods for solving nonlinear equations

Abstract

In this paper, we present two new iteration methods to find the solutions of nonlinear equations, which were developed from a concept of Obadah [10] and Taylor’s Series to estimate the second derivative. Analysis of its convergence shows that the order of convergence of the modified iterative method is four, for a simple root of the equation. Finally, to illustrate the efficiency and performance of the proposed method, we give some numerical experiments and comparison.