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

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 presen...

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Main Authors: Jamaludin, Nur Alif Akid, Nik Long, Nik Mohd Asri, Salimi, Mehdi, Sharifi, Somayeh
Format: Article
Language:English
Published: Springer 2019
Online Access:http://psasir.upm.edu.my/id/eprint/82017/1/Review%20of%20some%20iterative%20methods%20for%20solving%20nonlinear%20equations%20with%20multiple%20zeros.pdf
http://psasir.upm.edu.my/id/eprint/82017/
https://link.springer.com/article/10.1007/s13370-018-00650-3
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spelling my.upm.eprints.820172020-10-17T07:18:02Z http://psasir.upm.edu.my/id/eprint/82017/ Review of some iterative methods for solving nonlinear equations with multiple zeros Jamaludin, Nur Alif Akid Nik Long, Nik Mohd Asri Salimi, Mehdi Sharifi, Somayeh 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) Springer 2019-02 Article PeerReviewed text en http://psasir.upm.edu.my/id/eprint/82017/1/Review%20of%20some%20iterative%20methods%20for%20solving%20nonlinear%20equations%20with%20multiple%20zeros.pdf 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 https://link.springer.com/article/10.1007/s13370-018-00650-3 10.1007/s13370-018-00650-3
institution Universiti Putra Malaysia
building UPM Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Putra Malaysia
content_source UPM Institutional Repository
url_provider http://psasir.upm.edu.my/
language English
description 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)
format Article
author Jamaludin, Nur Alif Akid
Nik Long, Nik Mohd Asri
Salimi, Mehdi
Sharifi, Somayeh
spellingShingle Jamaludin, Nur Alif Akid
Nik Long, Nik Mohd Asri
Salimi, Mehdi
Sharifi, Somayeh
Review of some iterative methods for solving nonlinear equations with multiple zeros
author_facet Jamaludin, Nur Alif Akid
Nik Long, Nik Mohd Asri
Salimi, Mehdi
Sharifi, Somayeh
author_sort Jamaludin, Nur Alif Akid
title Review of some iterative methods for solving nonlinear equations with multiple zeros
title_short Review of some iterative methods for solving nonlinear equations with multiple zeros
title_full Review of some iterative methods for solving nonlinear equations with multiple zeros
title_fullStr Review of some iterative methods for solving nonlinear equations with multiple zeros
title_full_unstemmed Review of some iterative methods for solving nonlinear equations with multiple zeros
title_sort review of some iterative methods for solving nonlinear equations with multiple zeros
publisher Springer
publishDate 2019
url http://psasir.upm.edu.my/id/eprint/82017/1/Review%20of%20some%20iterative%20methods%20for%20solving%20nonlinear%20equations%20with%20multiple%20zeros.pdf
http://psasir.upm.edu.my/id/eprint/82017/
https://link.springer.com/article/10.1007/s13370-018-00650-3
_version_ 1681490850263072768
score 13.211869

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