[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.14403/jcms.2011.24.3.5

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

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

Publication Information

Journal of the Chungcheong Mathematical Society / v.24, no.3, 2011 , pp. 437-447 More about this Journal

Abstract

In this paper we present a new variant of the Euler-Chebyshev 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.

Keywords

Newton's method; Euler-Chebyshev's method; iterative methods; nonlinear equations; order of convergence;

Citations & Related Records

Reference

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