New Three-Steps Iterative Method for Solving Nonlinear Equations

Abstract

In this paper, we proposed a new three steps iterative method of order six for solving nonlinear equations. The method uses predictor-corrector technique, is constructed based on a Newton iterative method and the weight combination of mid-point with Simpson quadrature formulas. Several numerical examples are given to illustrate the efficiency and performance of the iterative methods; the methods are also compared with well known existing iterative method.