Derivative Free Three-Step Iterative Method to Solve Nonlinear Equations

Abstract

This article discusses a derivative free three-step iterative method to solve a nonlinear equation using Steffensen method, after approximating the derivative in the method proposed by Abro et al. [Appl. Math. Comput.,55(2019),516-536] by a divided difference method. We show analytically that the method is of order sixth under a condition and for each iteration it requires three function evaluations. Numerical experiments show that the new method is comparable with other discussed method.