Family of Optimal Eighth-Order of Convergence for Solving Nonlinear Equations

  • Ibrahim Ahmed Al-Subaihi Department of Mathematics, Faculty of Science, Taibah University, Saudi Arabia
  • A. A. Al-Harbi Department of Mathematics, Faculty of Science, Taibah University, Saudi Arabia
Keywords: Convergence order, Efficiency index, Iterative methods, Nonlinear equations, Optimal eighth-order.

Abstract

In this paper, a new family of optimal eighth-order iterative methods are presented. The new family is developed by combining Traub-Ostrowskis fourth-order method adding Newtons method as a third step and using the forward divided difference and three real-valued functions in the third step to reduce the number of function evaluations. We employed several numerical comparisons to demonstrate the performance of the proposed method.

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References

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Published
2015-08-03
How to Cite
Al-Subaihi, I., & Al-Harbi, A. A. (2015). Family of Optimal Eighth-Order of Convergence for Solving Nonlinear Equations. Journal of Progressive Research in Mathematics, 4(4), 393-398. Retrieved from http://scitecresearch.com/journals/index.php/jprm/article/view/291
Section
Articles