A FIFTH-ORDER IMPROVEMENT OF THE EULER-CHEBYSHEV METHOD FOR SOLVING NON-LINEAR EQUATIONS

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Published: Aug 15, 2011
DOI: https://doi.org/10.14403/jcms.2011.24.3.437
Keywords:
Newton's method, Euler-Chebyshev's method, iterative methods, nonlinear equations, order of convergence
Mathematics Subject Classification (2020):
Primary 65H05, 65B99

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Weonbae Kim
Department of Mathematics, Daejin University
Changbum Chun
Department of Mathematics, Sungkyunkwan University
Yong-Il Kim
School of Liberal Arts, Korea University of Technology and Education,

Abstract





In this paper we present a new variant of the EulerChebyshev method for solving nonlinear equations. Analysis of convergence is given to show that the presented methods are at least fifth-order convergent. Several numerical examples are given to illustrate that newly presented methods can be competitive to other known fifth-order methods and the Newton method in the efficiency and performance.





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Article Details

Issue
Vol. 24 No. 3 (2011)
Section
Articles