Abstract

In this paper, a modified three-step iterative method is developed for solving non-linear mathematical models. In fact, finding the roots of non-linear problems containing the polynomial and transcendental equation is a classical problem in numerical methods, in which many applications arise in the branches of applied science and engineering. The proposed method is derived by using Taylor series expansion. The proposed method is having sixth-order of convergence. The main aim of this paper is to find out the approximate root of the non-linear equation with fewer iterations and good accurateness. The model is free from second order derivative and requires six function evaluations per iteration. The proposed method is compared with Newton Raphson method and another existing methods and found to have better performance.