Four‐Point Optimal Sixteenth‐Order Iterative Method for Solving Nonlinear Equations

Malik Zaka Ullah, A. S. Al-Fhaid and Fayyaz Ahmad

Journal of Applied Mathematics, 2013, vol. 2013, issue 1

Abstract: We present an iterative method for solving nonlinear equations. The proposed iterative method has optimal order of convergence sixteen in the sense of Kung‐Traub conjecture (Kung and Traub, 1974); it means that the iterative scheme uses five functional evaluations to achieve 16(=25−1) order of convergence. The proposed iterative method utilizes one derivative and four function evaluations. Numerical experiments are made to demonstrate the convergence and validation of the iterative method.

Date: 2013
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https://doi.org/10.1155/2013/850365

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnljam:v:2013:y:2013:i:1:n:850365

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