Some new multi-step derivative-free iterative methods for solving nonlinear equations

Abstract

In this paper, we use the system of coupled equation involving auxiliary function with decomposition technique. We also use finite difference technique to suggest and analyze some new derivative-free iterative methods for solving nonlinear equations. Several examples are given to check the performance of developed methods numerically as well as graphically. This technique can be implemented to suggest a wide class of new derivative-free iterative methods for solving nonlinear equations.