A Comparative Study among New Hybrid Root Finding Algorithms and Traditional Methods

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ID: 265669
2021
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Abstract
In this paper, we propose a novel blended algorithm that has the advantages of the trisection method and the false position method. Numerical results indicate that the proposed algorithm outperforms the secant, the trisection, the Newton–Raphson, the bisection and the regula falsi methods, as well as the hybrid of the last two methods proposed by Sabharwal, with regard to the number of iterations and the average running time.
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badr2021mathematicsa Use this key to autocite in the manuscript while using SciMatic Manuscript Manager or Thesis Manager
Authors Elsayed Badr;Sultan Almotairi;Abdallah El Ghamry;Badr, Elsayed;Almotairi, Sultan;Ghamry, Abdallah El;
Journal Mathematics
Year 2021
DOI
10.3390/math9111306
URL
https://doi.org/10.3390/math9111306
Keywords
dynamical systems hybrid method trisection bisection false position newton–raphson secant

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