New phase-fitted and amplification-fitted modified Runge-Kutta method for solving oscillatory problems
In this paper, a new phase-fitted and amplification-fitted modified Runge-Kutta (MRK) method is constructed to solve first-order ordinary differential equations with oscillatory solutions. This new method is based on the Runge-Kutta Zonneveld method with fourth algebraic order. The numerical results...
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| Format: | Article |
| Language: | English |
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Research India Publications
2016
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| Online Access: | http://psasir.upm.edu.my/id/eprint/27906/ http://psasir.upm.edu.my/id/eprint/27906/1/New%20phase-fitted%20and%20amplification-fitted%20modified%20Runge-Kutta%20method%20for%20solving%20oscillatory%20problems.pdf |
| _version_ | 1848845968839016448 |
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| author | Alshareeda, Firas Adel Fawzi Senu, Norazak Ismail, Fudziah Abdul Majid, Zanariah |
| author_facet | Alshareeda, Firas Adel Fawzi Senu, Norazak Ismail, Fudziah Abdul Majid, Zanariah |
| author_sort | Alshareeda, Firas Adel Fawzi |
| building | UPM Institutional Repository |
| collection | Online Access |
| description | In this paper, a new phase-fitted and amplification-fitted modified Runge-Kutta (MRK) method is constructed to solve first-order ordinary differential equations with oscillatory solutions. This new method is based on the Runge-Kutta Zonneveld method with fourth algebraic order. The numerical results for the new method have been compared with other existing methods. Findings have shown that the new method is more efficient than the other existing methods. |
| first_indexed | 2025-11-15T08:55:15Z |
| format | Article |
| id | upm-27906 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T08:55:15Z |
| publishDate | 2016 |
| publisher | Research India Publications |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-279062017-04-07T05:04:01Z http://psasir.upm.edu.my/id/eprint/27906/ New phase-fitted and amplification-fitted modified Runge-Kutta method for solving oscillatory problems Alshareeda, Firas Adel Fawzi Senu, Norazak Ismail, Fudziah Abdul Majid, Zanariah In this paper, a new phase-fitted and amplification-fitted modified Runge-Kutta (MRK) method is constructed to solve first-order ordinary differential equations with oscillatory solutions. This new method is based on the Runge-Kutta Zonneveld method with fourth algebraic order. The numerical results for the new method have been compared with other existing methods. Findings have shown that the new method is more efficient than the other existing methods. Research India Publications 2016 Article PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/27906/1/New%20phase-fitted%20and%20amplification-fitted%20modified%20Runge-Kutta%20method%20for%20solving%20oscillatory%20problems.pdf Alshareeda, Firas Adel Fawzi and Senu, Norazak and Ismail, Fudziah and Abdul Majid, Zanariah (2016) New phase-fitted and amplification-fitted modified Runge-Kutta method for solving oscillatory problems. Global Journal of Pure and Applied Mathematics, 12 (2). pp. 1229-1242. ISSN 0973-1768; ESSN: 0973-9750 http://www.ripublication.com/Volume/gjpamv12n2.htm |
| spellingShingle | Alshareeda, Firas Adel Fawzi Senu, Norazak Ismail, Fudziah Abdul Majid, Zanariah New phase-fitted and amplification-fitted modified Runge-Kutta method for solving oscillatory problems |
| title | New phase-fitted and amplification-fitted modified Runge-Kutta method for solving oscillatory problems |
| title_full | New phase-fitted and amplification-fitted modified Runge-Kutta method for solving oscillatory problems |
| title_fullStr | New phase-fitted and amplification-fitted modified Runge-Kutta method for solving oscillatory problems |
| title_full_unstemmed | New phase-fitted and amplification-fitted modified Runge-Kutta method for solving oscillatory problems |
| title_short | New phase-fitted and amplification-fitted modified Runge-Kutta method for solving oscillatory problems |
| title_sort | new phase-fitted and amplification-fitted modified runge-kutta method for solving oscillatory problems |
| url | http://psasir.upm.edu.my/id/eprint/27906/ http://psasir.upm.edu.my/id/eprint/27906/ http://psasir.upm.edu.my/id/eprint/27906/1/New%20phase-fitted%20and%20amplification-fitted%20modified%20Runge-Kutta%20method%20for%20solving%20oscillatory%20problems.pdf |