Some Iterative Methods to Solve Nonlinear Equations Having Faster Convergence

Abstract

This paper presents modified Potra and Ptak method to solve ´ nonlinear equations having single variable using McDougall and Wotherspoon scheme. Also two iterative methods are obtained as variants of Potra and Ptak method by merging iterations of secant method and the ´ method given by Amat and Bascular. The convergence order of each newly obtained method is higher than that of Potra and Ptak method. Fi- ´ nally, some examples are demonstrated to know performances of these methods and to compare these among themselves and other existing methods.