New third order convergence iterative method for finding multiple roots of nonlinear equations
In this paper, we derive a new modified third order convergence iterative methods for computing multiple roots of non-linear equations. Our proposed scheme requires one evaluation of function and two evaluations of first derivative. Error term is proved to possess a third order. Numerical performa...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Malaysian Mathematical Sciences Society and Universiti Putra Malaysia
2018
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| Online Access: | http://psasir.upm.edu.my/id/eprint/75076/ http://psasir.upm.edu.my/id/eprint/75076/1/New%20third.pdf |
| _version_ | 1848857598494769152 |
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| author | Jamaludin, Nur Alif Akid Nik Long, Nik Mohd Asri Salimi, Mehdi Ismail, Fudziah |
| author_facet | Jamaludin, Nur Alif Akid Nik Long, Nik Mohd Asri Salimi, Mehdi Ismail, Fudziah |
| author_sort | Jamaludin, Nur Alif Akid |
| building | UPM Institutional Repository |
| collection | Online Access |
| description | In this paper, we derive a new modified third order convergence iterative methods for computing multiple roots of non-linear equations. Our proposed scheme requires one evaluation of function and two evaluations of first derivative. Error term is proved to possess a third order.
Numerical performance shows that the proposed method provides a highest accuracy results as compared to other existing third order iterative methods. |
| first_indexed | 2025-11-15T12:00:06Z |
| format | Article |
| id | upm-75076 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T12:00:06Z |
| publishDate | 2018 |
| publisher | Malaysian Mathematical Sciences Society and Universiti Putra Malaysia |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-750762019-11-28T05:38:01Z http://psasir.upm.edu.my/id/eprint/75076/ New third order convergence iterative method for finding multiple roots of nonlinear equations Jamaludin, Nur Alif Akid Nik Long, Nik Mohd Asri Salimi, Mehdi Ismail, Fudziah In this paper, we derive a new modified third order convergence iterative methods for computing multiple roots of non-linear equations. Our proposed scheme requires one evaluation of function and two evaluations of first derivative. Error term is proved to possess a third order. Numerical performance shows that the proposed method provides a highest accuracy results as compared to other existing third order iterative methods. Malaysian Mathematical Sciences Society and Universiti Putra Malaysia 2018 Article PeerReviewed text en http://psasir.upm.edu.my/id/eprint/75076/1/New%20third.pdf Jamaludin, Nur Alif Akid and Nik Long, Nik Mohd Asri and Salimi, Mehdi and Ismail, Fudziah (2018) New third order convergence iterative method for finding multiple roots of nonlinear equations. Discovering Mathematics, 40 (2). 64 - 71. ISSN 2231-7023 http://einspem.upm.edu.my/ojs/index.php/dismath/article/view/20 |
| spellingShingle | Jamaludin, Nur Alif Akid Nik Long, Nik Mohd Asri Salimi, Mehdi Ismail, Fudziah New third order convergence iterative method for finding multiple roots of nonlinear equations |
| title | New third order convergence iterative method for finding multiple roots of nonlinear equations |
| title_full | New third order convergence iterative method for finding multiple roots of nonlinear equations |
| title_fullStr | New third order convergence iterative method for finding multiple roots of nonlinear equations |
| title_full_unstemmed | New third order convergence iterative method for finding multiple roots of nonlinear equations |
| title_short | New third order convergence iterative method for finding multiple roots of nonlinear equations |
| title_sort | new third order convergence iterative method for finding multiple roots of nonlinear equations |
| url | http://psasir.upm.edu.my/id/eprint/75076/ http://psasir.upm.edu.my/id/eprint/75076/ http://psasir.upm.edu.my/id/eprint/75076/1/New%20third.pdf |