Fourth Order Iterated Method for Estimating a Single Root of Non-Linear Application Equations using Euler Method

Abstract

This article presents an iterated method for estimating a single root of non-linear equations which arises in science and engineering. The order of convergence of the proposed iterated method is four and it is derived from the Euler method and Steffensen method. The fourth-order iterated method works on physical application nonlinear equations and is compared with the fourth iterated method and double Newton Raphson method. The numerical outcome of the proposed iterated method is examined with C++/MATLAB. From the numerical results and graphical representation, it can be observed that the fourth-order iterated method is good accuracy, iteration perception and function evaluation as the assessment of the existing fourth iterated method and double Newton Raphson method for solving non-linear application functions.