New highly accurate iterative method of third order convergence for finding the multiple roots of nonlinear equations
We present a new third order convergence iterative method for m multiple roots of nonlinear equation. The proposed method requires one evaluation of function and two evaluations of the first derivative of function. In numerical tests exhibit that the present method provides provides high accuracy n...
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| Format: | Article |
| Language: | English |
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Akademi Sains Malaysia
2019
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| Online Access: | http://psasir.upm.edu.my/id/eprint/81469/ http://psasir.upm.edu.my/id/eprint/81469/1/New%20highly%20accurate%20iterative%20method%20of%20third%20order%20convergence%20for%20finding%20the%20multiple%20roots%20of%20nonlinear%20equations.pdf |
| _version_ | 1848859111696891904 |
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| author | Jamaludin, Nur Alif Akid Nik Long, Nik Mohd Asri Ismail, Fudziah |
| author_facet | Jamaludin, Nur Alif Akid Nik Long, Nik Mohd Asri Ismail, Fudziah |
| author_sort | Jamaludin, Nur Alif Akid |
| building | UPM Institutional Repository |
| collection | Online Access |
| description | We present a new third order convergence iterative method for m multiple roots of nonlinear equation. The proposed method requires one evaluation of function and two evaluations of
the first derivative of function. In numerical tests exhibit that the present method provides provides high accuracy numerical result as compared to other methods. The stability of the
dynamical behaviour of iterative method is investigated by displaying the basin of attraction. Basin of attraction displays less black points which give us wider choices of initial guess in
computation. |
| first_indexed | 2025-11-15T12:24:09Z |
| format | Article |
| id | upm-81469 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T12:24:09Z |
| publishDate | 2019 |
| publisher | Akademi Sains Malaysia |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-814692021-01-30T18:28:07Z http://psasir.upm.edu.my/id/eprint/81469/ New highly accurate iterative method of third order convergence for finding the multiple roots of nonlinear equations Jamaludin, Nur Alif Akid Nik Long, Nik Mohd Asri Ismail, Fudziah We present a new third order convergence iterative method for m multiple roots of nonlinear equation. The proposed method requires one evaluation of function and two evaluations of the first derivative of function. In numerical tests exhibit that the present method provides provides high accuracy numerical result as compared to other methods. The stability of the dynamical behaviour of iterative method is investigated by displaying the basin of attraction. Basin of attraction displays less black points which give us wider choices of initial guess in computation. Akademi Sains Malaysia 2019 Article PeerReviewed text en http://psasir.upm.edu.my/id/eprint/81469/1/New%20highly%20accurate%20iterative%20method%20of%20third%20order%20convergence%20for%20finding%20the%20multiple%20roots%20of%20nonlinear%20equations.pdf Jamaludin, Nur Alif Akid and Nik Long, Nik Mohd Asri and Ismail, Fudziah (2019) New highly accurate iterative method of third order convergence for finding the multiple roots of nonlinear equations. ASM Science Journal, 12 (spec.1). pp. 41-49. ISSN 1823-6782 https://www.akademisains.gov.my/asmsj/article/new-highly-accurate-iterative-method-of-third-order-convergence-for-finding-the-multiple-roots-of-non-linear-equations/ |
| spellingShingle | Jamaludin, Nur Alif Akid Nik Long, Nik Mohd Asri Ismail, Fudziah New highly accurate iterative method of third order convergence for finding the multiple roots of nonlinear equations |
| title | New highly accurate iterative method of third order convergence for finding the multiple roots of nonlinear equations |
| title_full | New highly accurate iterative method of third order convergence for finding the multiple roots of nonlinear equations |
| title_fullStr | New highly accurate iterative method of third order convergence for finding the multiple roots of nonlinear equations |
| title_full_unstemmed | New highly accurate iterative method of third order convergence for finding the multiple roots of nonlinear equations |
| title_short | New highly accurate iterative method of third order convergence for finding the multiple roots of nonlinear equations |
| title_sort | new highly accurate iterative method of third order convergence for finding the multiple roots of nonlinear equations |
| url | http://psasir.upm.edu.my/id/eprint/81469/ http://psasir.upm.edu.my/id/eprint/81469/ http://psasir.upm.edu.my/id/eprint/81469/1/New%20highly%20accurate%20iterative%20method%20of%20third%20order%20convergence%20for%20finding%20the%20multiple%20roots%20of%20nonlinear%20equations.pdf |