Derivative Free Iterative Method for Solving Nonlinear Equations with Stability Analysis

Abstract

This work presented a novel derivative-free sixth-order iterative method for solving nonlinear equations. This method possesses an efficiency index of . Convergence analysis is provided in order to prove the reliability of our method. Numerical comparison with other existing methods is provided to demonstrate the efficiency of our method. Plots of Residual fall graphs and stability analysis of all methods have been presented in this work. These plots highlight the efficiency and robustness of our method.