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

Elsayed Badr, Sultan Almotairi and Abdallah El Ghamry
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Elsayed Badr: Scientific Computing Department, Faculty of Computers & Artificial Intelligence, Benha University, Benha 13518, Egypt
Sultan Almotairi: Department of Natural and Applied Sciences, Community College Majmaah University, Al-Majmaah 11952, Saudi Arabia
Abdallah El Ghamry: Computer Science Department, Faculty of Computers & Artificial Intelligence, Benha University, Benha 13518, Egypt

Mathematics, 2021, vol. 9, issue 11, 1-15

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.

Keywords: hybrid method; trisection; bisection; false position; Newton–Raphson; secant; dynamical systems (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2021
References: View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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