求非线性方程单根的一般五阶方法

Q3 Multidisciplinary

Walailak Journal of Science and Technology Pub Date : 2012-02-13 DOI:10.2004/WJST.V9I2.235

B. Ghanbari

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引用次数: 1

摘要

本文给出了一种新的不需要二阶导数的五阶方法族。新的迭代族包含了最著名的求解非线性方程的King方法族，以及作为它的特殊情况的其他一些已知方法。为了说明所提族的效率和性能，给出了几个数值算例。数值结果表明，与其他五阶方法相比，该方法具有更好的效率和性能。因此，所提出的族可以有效地用于求解非线性方程。

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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A General Family of Fifth-Order Methods for Finding Simple Roots of Nonlinear Equations

In this paper, a new fifth-order family of methods free from second derivative is obtained. The new iterative family contains the King’s, which is one of the most well-known family of methods for solving nonlinear equations, and some other known methods as its particular case. To illustrate the efficiency and performance of proposed family, several numerical examples are presented. Numerical results illustrate better efficiency and performance of the presented methods in comparison with the other compared fifth-order methods. Therefore, the proposed family can be effectively used for solving nonlinear equations.

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来源期刊

Walailak Journal of Science and Technology Multidisciplinary-Multidisciplinary

CiteScore

0.80

自引率

0.00%

发文量

审稿时长

24 weeks

期刊介绍： The Walailak Journal of Science and Technology (Walailak J. Sci. & Tech. or WJST), is a peer-reviewed journal covering all areas of science and technology, launched in 2004. It is published 12 Issues (Monthly) by the Institute of Research and Innovation of Walailak University. The scope of the journal includes the following areas of research : - Natural Sciences: Biochemistry, Chemical Engineering, Chemistry, Materials Science, Mathematics, Molecular Biology, Physics and Astronomy. -Life Sciences: Allied Health Sciences, Biomedical Sciences, Dentistry, Genetics, Immunology and Microbiology, Medicine, Neuroscience, Nursing, Pharmaceutics, Psychology, Public Health, Tropical Medicine, Veterinary. -Applied Sciences: Agricultural, Aquaculture, Biotechnology, Computer Science, Cybernetics, Earth and Planetary, Energy, Engineering, Environmental, Food Science, Information Technology, Meat Science, Nanotechnology, Plant Sciences, Systemics