AN ITERATIVE METHOD WITH SIX-ORDER CONVERGENCE FOR SOLVING NONLINEAR EQUATIONS

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  • M. Matinfar1,
  • M. Aminzadeh1,
  1. Faculty of Sciences, Mazandaran University, Iran Iran, Islamic Republic of Department of Mathematics

Revised: 14-04-2016

Accepted: 14-04-2016

Published in Issue 21-12-2012

How to Cite

Matinfar, M., & Aminzadeh, M. (2012). AN ITERATIVE METHOD WITH SIX-ORDER CONVERGENCE FOR SOLVING NONLINEAR EQUATIONS. International Journal of Mathematical Modelling & Computations, 2(1), 45-51. https://oiccpress.com/ijm2c/article/view/11142

Abstract

Modification of Newtons method with higher-order convergence is presented. The modification of Newtons method is based on Frontinis three-order method. The new method requires two-step per iteration. Analysis of convergence demonstrates that the order of convergence is 6. Some numerical examples illustrate that the algorithm is more efficient and performs better than classical Newtons method and other methods.
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