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

Ibrahim Ahmed Al-Subaihi, A. A. Al-Harbi

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.

Keywords


Convergence order; Efficiency index; Iterative methods; Nonlinear equations; Optimal eighth-order.

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References


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