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

Ibrahim Ahmed Al-Subaihi, T. GH. Al-Harbi

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.


Keywords


iterative method; optimal method; nonlinear equations; order of convergence..

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References


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