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

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.The authors would like to thank anonymous reviewers for their valuable and constructive comments. Authors are also immensely grateful to Mr. Attaullah for sharing his pearls of wisdom with us during the course of writing and completion of this research article. The research of F. A. Shah is supported by Higher Education Commission Pakistan through NRPU No. 5418/Federal/NRPU/R&D/HEC/2016.Publisher's Versio