A SIXTH ORDER METHOD FOR SOLVING NONLINEAR EQUATIONS

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  • Farshid Mirzaee1,
  • Afsun Hamzeh2,
  1. Malayer University Iran, Islamic Republic of
  2. Ireland

Revised: 15-04-2016

Accepted: 15-04-2016

Published in Issue 21-03-2014

How to Cite

Mirzaee, F., & Hamzeh, A. (2014). A SIXTH ORDER METHOD FOR SOLVING NONLINEAR EQUATIONS. International Journal of Mathematical Modelling & Computations, 4(1), 55-60. https://oiccpress.com/ijm2c/article/view/11208

Abstract

In this paper, we present a new iterative method with order of convergence eighth for solving nonlinear equations. Periteration this method requires three evaluations of the function and one evaluation of its first derivative. A general error analysis providing the eighth order of convergence is given. Several numerical examples are given to illustrate the efficiency and performance of the new method.
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