Comparison of Iterative Methods with order of Convergence Three and Four.

Abstract

In the article, we conduct experiments with four iterative methods to find the real root of a non-linear equation. Three of the methods are in order of convergence 3 and one of order of convergence 4. Two of the methods require calculation of a second derivative. So, all the methods being compared are a modification of the Newton’s method, we impose Newton’s type conditions for the initial approximation.