An Optimal Class of Eighth-Order Iterative Methods Based on King’s Method

  • Ibrahim Ahmed Al-Subaihi Department of Mathematics, Faculty of Science, Taibah University, Saudi Arabia
  • T. GH. Al-Harbi Department of Mathematics, Faculty of Science, Taibah University, Saudi Arabia
Keywords: iterative method, optimal method, nonlinear equations, order of convergence.

Abstract

This paper based on King’s fourth order methods. A class of eighth-order methods is presented for solving simple roots of nonlinear equations. The class is developed by combining King’s fourth-order  method and Newton’s method as a third step using the forward divided difference and multiplication of  three weight function. Some numerical comparisons have been considered to show the performance of the proposed method.

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Published
2018-06-20
How to Cite
Al-Subaihi, I., & Al-Harbi, T. (2018). An Optimal Class of Eighth-Order Iterative Methods Based on King’s Method. Journal of Progressive Research in Mathematics, 13(3), 2329-2336. Retrieved from http://scitecresearch.com/journals/index.php/jprm/article/view/1556
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Articles