A new three-step iterative method with high order of convergence for non-linear equations

Abstract

This research presents new three-step iterative method with order of convergence at last seventh for solving nonlinear equations. Per iteration, the new method requires three functions and one first derivative evaluations. The efficiency index of this method is 7^1/4 ≈ 1.627. Numerical examples are given to illustrate the performance of the presented method and this is considered another method for solving nonlinear equations.