SOME NEW MULTI-STEP DERIVATIVE-FREE ITERATIVE METHODS FOR SOLVING NONLINEAR EQUATIONS

SOME NEW MULTI-STEP DERIVATIVE-FREE ITERATIVE METHODS FOR SOLVING NONLINEAR EQUATIONS

F. A. Shah, E. Ul Haq

[PDF]

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.

Keywords

Iterative methods, Nonlinear equations, Convergence, Steffensen’s method.