SOME MODIFICATIONS OF CHEBYSHEV-HALLEY’S METHODS FREE FROM SECOND DERIVATIVE WITH EIGHTH-ORDER OF CONVERGENCE

  • Yuslenita Muda Department of Mathematics, Faculty of Science and Technology, State Islamic University of Sultan Syarif Kasim Riau
  • Neng Santi Department of Mathematics, Faculty of Science and Technology, State Islamic University of Sultan Syarif Kasim Riau
  • Wartono Wartono Department of Mathematics, Faculty of Science and Technology, State Islamic University of Sultan Syarif Kasim Riau
  • Muhafzan Muhafzan Department of Mathematics, Faculty of Mathematics and Natural Sciences, Andalas University Padang, Indonesia
DOI: https://doi.org/10.30598/barekengvol16iss2pp531-538
Keywords: variant of Chebyshev-Halley’s method, nonlinear equation, order of convergence, efficiency index

Abstract

The variant of Chebyshev-Halley’s method is an iterative method used for solving a nonlinear equation with third order of convergence. In this paper, we present some new variants of three steps Chebyshev-Halley’s method free from second derivative with two parameters. The proposed methods have eighth-order of convergence for  and  and require four evaluations of functions per iteration with index efficiency equal to . Numerical simulation will be presented by using several functions to show the performance of the proposed methods.

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Published
2022-06-01
How to Cite
[1]
Y. Muda, N. Santi, W. Wartono, and M. Muhafzan, “SOME MODIFICATIONS OF CHEBYSHEV-HALLEY’S METHODS FREE FROM SECOND DERIVATIVE WITH EIGHTH-ORDER OF CONVERGENCE”, BAREKENG: J. Math. & App., vol. 16, no. 2, pp. 531-538, Jun. 2022.
Issue
Vol 16 No 2 (2022): BAREKENG: Jurnal Ilmu Matematika dan Terapan
Section
Articles

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