Fourth, Fifth and Seventh-Order Iterative Methods for Solving Nonlinear Equations

Abstract

In this paper, three iterative techniques are introduced for finding the numerical solutions of nonlinear
equations. It is demonstrated that our methods exhibit convergence of four, five, and seven orders. Analysis reveals
that our approaches outperform certain recent methods in terms of efficiency. The performance of the proposed
techniques is evaluated through numerical examples. Additionally, the theoretical order of convergence is
confirmed through these examples