SOME NEW MULTI-STEP DERIVATIVE-FREE ITERATIVEMETHODS FOR SOLVING NONLINEAR EQUATIO

Özet

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