New iterative methods using variational iteration technique and their dynamical behavior

M. Nawaz, Amir Naseem, W. Nazeer
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引用次数: 5

Abstract

The aim of this paper is to present new sixth order iterative methods for solving nonlinear equations. The derivation of these methods is purely based on variational iteration technique. Our methods are verified by means of various test examples and numerical results show that our developed methods are more effective with respect to the previously well known methods. Finally, polynomiography via our developed method is presented which shows the dynamical behavior of our proposed methods. Received: 2017-08-23 Revised: 2017-11-18 Published: November 24, 2017 c © 2017 Academic Publications, Ltd. url: www.acadpubl.eu Correspondence author 1094 Y.C. Kwun, Z. Majeed, A. Naseem, W. Nazeer, S.M. Kang AMS Subject Classification: 47H09
基于变分迭代技术的新迭代方法及其动力学行为
本文的目的是提出求解非线性方程的新的六阶迭代方法。这些方法的推导完全基于变分迭代技术。通过各种测试实例验证了我们的方法,数值结果表明,我们开发的方法比以前已知的方法更有效。最后,利用我们所提出的方法进行了多项式分析,显示了我们所提出方法的动力特性。收稿日期:2017-08-23修回日期:2017-11-18发布日期:2017年11月24日c©2017 Academic Publications, Ltd. url: www.acadpubl.eu通讯作者1094 Y.C. Kwun, Z. Majeed, A. Naseem, W. Nazeer, S.M. Kang AMS学科分类:47H09
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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10
审稿时长
8 weeks
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