Novel Optimal Class of Eighth-Order Methods for Solving Nonlinear Equations and Their Dynamical Aspects
Publish Year: 1403
نوع سند: مقاله ژورنالی
زبان: English
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شناسه ملی سند علمی:
JR_SCMA-21-1_010
تاریخ نمایه سازی: 11 دی 1402
Abstract:
In this paper, a novel optimal class of eighth-order convergence methods for finding simple roots of nonlinear equations is derived based on the Predictor-Corrector of Halley method. By combining weight functions and derivative approximations, an optimal class of iterative methods with eighth-order convergence is constructed. In terms of computational cost, the proposed methods require three function evaluations, and the first derivative is evaluated once per iteration. Moreover, the methods have efficiency indices equal to ۱.۶۸۱۷. The proposed methods have been tested with several numerical examples, as well as a comparison with existing methods for analyzing efficacy is presented.
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Authors
Abdallah Dawoud
Department of Electrical Engineering, College of Engineering, University of Prince Mugrin, P.O. Box ۴۲۲۴۱, Medina, Saudi Arabia.
MAlak Khashoqji
Department of Electrical Engineering, College of Engineering, University of Prince Mugrin, P.O. Box ۴۲۲۴۱, Medina, Saudi Arabia.
Tareq Al-hussain
Department of Civil Engineering, College of Engineering, University of Prince Mugrin, P.O. Box ۴۲۲۴۱, Medina, Saudi Arabia.
Ibrahim Al-Subaihi
Department of General Studies, University of Prince Mugrin, P.O. Box ۴۲۲۴۱, Medina, Saudi Arabia.
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