Variants of Chebyshev’s Method with Eighth-Order Convergence for Solving Nonlinear Equations
Applied and Computational Mathematics
Volume 5, Issue 6, December 2016, Pages: 247-251
Received: Oct. 26, 2016;
Accepted: Jan. 7, 2017;
Published: Feb. 3, 2017
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Muhamad Nizam Muhaijir, Department of Mathematics, University of Riau, Pekanbaru, Indonesia
M. Imran, Department of Mathematics, University of Riau, Pekanbaru, Indonesia
Moh Danil Hendry Gamal, Department of Mathematics, University of Riau, Pekanbaru, Indonesia
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This paper develops the variants of Chebyshev’s method by applying Lagrange interpolation and finite difference to eliminate the second derivative appearing in the Chebyshev’s method. The results of this research show that the modified eight-order method has the efficiency index 1.5157. Numerical simulations show that the effectiveness and performance of the new method in solving nonlinear equations are encouraging.
Chebyshev’s Method, Finite Differences, Lagrange Interpolation, Nonlinear Equations, Order of Convergence
To cite this article
Muhamad Nizam Muhaijir,
Moh Danil Hendry Gamal,
Variants of Chebyshev’s Method with Eighth-Order Convergence for Solving Nonlinear Equations, Applied and Computational Mathematics.
Vol. 5, No. 6,
2016, pp. 247-251.
Copyright © 2016 Authors retain the copyright of this article.
This article is an open access article distributed under the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0/
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