Third order convergence iterative method for multiple roots of nonlinear equation
We present a new third order convergence iterative method for solving multiple roots of nonlinear equation, which requires one function evaluation and two evaluation of first derivative of function per step. Our present method free from second derivative function. Error term is proved to possess a t...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Universiti Putra Malaysia Press
2019
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| Online Access: | http://psasir.upm.edu.my/id/eprint/70685/1/5.pdf |
| _version_ | 1825933968688545792 |
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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 |
| collection | UPM |
| description | We present a new third order convergence iterative method for solving multiple roots of nonlinear equation, which requires one function evaluation and two evaluation of first derivative of function per step. Our present method free from second derivative function. Error term is proved to possess a third order method. Numerical experiments exhibit that our method gives the smallest error of bound per iteration and it is highly accurate as compared to other existing iterative methods. |
| first_indexed | 2024-03-06T10:05:27Z |
| format | Article |
| id | upm.eprints-70685 |
| institution | Universiti Putra Malaysia |
| language | English |
| last_indexed | 2024-03-06T10:05:27Z |
| publishDate | 2019 |
| publisher | Universiti Putra Malaysia Press |
| record_format | dspace |
| spelling | upm.eprints-706852019-09-06T02:43:34Z http://psasir.upm.edu.my/id/eprint/70685/ Third order convergence iterative method for multiple roots of nonlinear equation Jamaludin, Nur Alif Akid Nik Long, Nik Mohd Asri Salimi, Mehdi Ismail, Fudziah We present a new third order convergence iterative method for solving multiple roots of nonlinear equation, which requires one function evaluation and two evaluation of first derivative of function per step. Our present method free from second derivative function. Error term is proved to possess a third order method. Numerical experiments exhibit that our method gives the smallest error of bound per iteration and it is highly accurate as compared to other existing iterative methods. Universiti Putra Malaysia Press 2019 Article PeerReviewed text en http://psasir.upm.edu.my/id/eprint/70685/1/5.pdf Jamaludin, Nur Alif Akid and Nik Long, Nik Mohd Asri and Salimi, Mehdi and Ismail, Fudziah (2019) Third order convergence iterative method for multiple roots of nonlinear equation. Malaysian Journal of Mathematical Sciences, 13 (spec. Apr.). pp. 51-59. ISSN 1823-8343; ESSN: 2289-750X http://einspem.upm.edu.my/journal/fullpaper/vol13sapril/5.pdf |
| spellingShingle | Jamaludin, Nur Alif Akid Nik Long, Nik Mohd Asri Salimi, Mehdi Ismail, Fudziah Third order convergence iterative method for multiple roots of nonlinear equation |
| title | Third order convergence iterative method for multiple roots of nonlinear equation |
| title_full | Third order convergence iterative method for multiple roots of nonlinear equation |
| title_fullStr | Third order convergence iterative method for multiple roots of nonlinear equation |
| title_full_unstemmed | Third order convergence iterative method for multiple roots of nonlinear equation |
| title_short | Third order convergence iterative method for multiple roots of nonlinear equation |
| title_sort | third order convergence iterative method for multiple roots of nonlinear equation |
| url | http://psasir.upm.edu.my/id/eprint/70685/1/5.pdf |
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