A new third-order Iterative method for solving nonlinear equations

Abstract

In this paper, we present a new iterative method for finding a root of nonlinear equations. The new method is based on approximation by the quadratic equation  where are constants. We prove that the new method has cubic convergence. Several numerical examples are presented and we compared the numerical solutions of new method with other cubic convergence methods. We found out the new method can be an alternative to solve nonlinear equations.