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...
| Main Authors: | , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Springer
2019
|
| Online Access: | http://psasir.upm.edu.my/id/eprint/82017/ http://psasir.upm.edu.my/id/eprint/82017/1/Review%20of%20some%20iterative%20methods%20for%20solving%20nonlinear%20equations%20with%20multiple%20zeros.pdf |
| _version_ | 1848859219429687296 |
|---|---|
| author | Jamaludin, Nur Alif Akid Nik Long, Nik Mohd Asri Salimi, Mehdi Sharifi, Somayeh |
| author_facet | Jamaludin, Nur Alif Akid Nik Long, Nik Mohd Asri Salimi, Mehdi Sharifi, Somayeh |
| author_sort | Jamaludin, Nur Alif Akid |
| building | UPM Institutional Repository |
| collection | Online Access |
| 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) |
| first_indexed | 2025-11-15T12:25:52Z |
| format | Article |
| id | upm-82017 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T12:25:52Z |
| publishDate | 2019 |
| publisher | Springer |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-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 |
| 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 |
| title | 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_short | 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 |
| url | http://psasir.upm.edu.my/id/eprint/82017/ http://psasir.upm.edu.my/id/eprint/82017/ http://psasir.upm.edu.my/id/eprint/82017/ http://psasir.upm.edu.my/id/eprint/82017/1/Review%20of%20some%20iterative%20methods%20for%20solving%20nonlinear%20equations%20with%20multiple%20zeros.pdf |