Journal of the Chungcheong Mathematical Society (충청수학회지)

The Chungcheong Mathematical Society (충청수학회)
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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)
  • Received : 2011.03.29
  • Accepted : 2011.08.13
  • Published : 2011.09.30
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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.

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References

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