Transforming Ostrowski's method into a derivative-free method and its dynamics

The current research develops a derivative-free family without memory methods. The proposed method consisting of two steps and one parameter for solving nonlinear equations is brought forward.\,The basin of attraction of the proposed methods has investigated using different weight functions.\,Numerical examples are experimented with to check the performance of the proposed schemes. Furthermore, the theoretical order of convergence is confirmed on the experiment work.

Keywords:

Iterative method , Convergence order , Basin of attraction , Nonlinear equation