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Review of some iterative methods for solving nonlinear equations with multiple zeros


Citation

Jamaludin, Nur Alif Akid and Nik Long, Nik Mohd Asri and Salimi, Mehdi and Sharifi, Somayeh (2019) Review of some iterative methods for solving nonlinear equations with multiple zeros. Afrika Matematika, 30 (3). pp. 355-369. ISSN 1012-9405

Abstract

In this paper, some iterative methods with third order convergence for solving the nonlinear equation were reviewed and analyzed. The purpose is to find the best iteration schemes that have been formulated thus far. Hence, some numerical experiments and basin of attractions were performed and presented graphically. Based on the five test functions it was found that the best method is D87a due Dong’s Family method (Int J Comput Math 21:363–367, 1987)


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Additional Metadata

Item Type: Article
Divisions: Faculty of Science
Institute for Mathematical Research
DOI Number: https://doi.org/10.1007/s13370-018-00650-3
Publisher: Springer
Keywords: Multi-point iterative methods; Multiple roots; Basin of attraction
Depositing User: Mr. Sazali Mohamad
Date Deposited: 17 Oct 2020 07:18
Last Modified: 17 Oct 2020 07:18
Altmetrics: http://www.altmetric.com/details.php?domain=psair.upmedu.my&doi=10.1007/s13370-018-00650-3
URI: http://psasir.upm.edu.my/id/eprint/82017
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