A phase-fitted and amplification-fitted modified Runge-Kutta method of fourth order for periodic initial value problems
A new Runge-Kutta method, with phase-fitted and amplification-fitted is constructed for solving first-order ordinary differential equations with periodic solutions. This new method is based on the Runge-Kutta 3/8 Rule with fourth algebraic order. In the numerical results the new method is compared w...
| Main Authors: | , , , |
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| Format: | Conference or Workshop Item |
| Language: | English |
| Published: |
IEEE
2015
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| Online Access: | http://psasir.upm.edu.my/id/eprint/51858/1/A%20phase-fitted%20and%20amplification-fitted%20modified%20Runge-Kutta%20method%20of%20fourth%20order%20for%20periodic%20initial%20value%20problems.pdf |
| _version_ | 1796975623057440768 |
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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 |
| collection | UPM |
| description | A new Runge-Kutta method, with phase-fitted and amplification-fitted is constructed for solving first-order ordinary differential equations with periodic solutions. This new method is based on the Runge-Kutta 3/8 Rule with fourth algebraic order. In the numerical results the new method is compared with the existing method; which show that the new method is more efficient. |
| first_indexed | 2024-03-06T09:14:11Z |
| format | Conference or Workshop Item |
| id | upm.eprints-51858 |
| institution | Universiti Putra Malaysia |
| language | English |
| last_indexed | 2024-03-06T09:14:11Z |
| publishDate | 2015 |
| publisher | IEEE |
| record_format | dspace |
| spelling | upm.eprints-518582017-05-02T08:05:18Z http://psasir.upm.edu.my/id/eprint/51858/ A phase-fitted and amplification-fitted modified Runge-Kutta method of fourth order for periodic initial value problems Alshareeda, Firas Adel Fawzi Senu, Norazak Ismail, Fudziah Abdul Majid, Zanariah A new Runge-Kutta method, with phase-fitted and amplification-fitted is constructed for solving first-order ordinary differential equations with periodic solutions. This new method is based on the Runge-Kutta 3/8 Rule with fourth algebraic order. In the numerical results the new method is compared with the existing method; which show that the new method is more efficient. IEEE 2015 Conference or Workshop Item PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/51858/1/A%20phase-fitted%20and%20amplification-fitted%20modified%20Runge-Kutta%20method%20of%20fourth%20order%20for%20periodic%20initial%20value%20problems.pdf Alshareeda, Firas Adel Fawzi and Senu, Norazak and Ismail, Fudziah and Abdul Majid, Zanariah (2015) A phase-fitted and amplification-fitted modified Runge-Kutta method of fourth order for periodic initial value problems. In: 7th International Conference on Research and Education in Mathematics (ICREM7), 25-27 Aug. 2015, Renaissance Kuala Lumpur Hotel, Malaysia. (pp. 25-28). http://ieeexplore.ieee.org/document/7357020/ 10.1109/ICREM.2015.7357020 |
| spellingShingle | Alshareeda, Firas Adel Fawzi Senu, Norazak Ismail, Fudziah Abdul Majid, Zanariah A phase-fitted and amplification-fitted modified Runge-Kutta method of fourth order for periodic initial value problems |
| title | A phase-fitted and amplification-fitted modified Runge-Kutta method of fourth order for periodic initial value problems |
| title_full | A phase-fitted and amplification-fitted modified Runge-Kutta method of fourth order for periodic initial value problems |
| title_fullStr | A phase-fitted and amplification-fitted modified Runge-Kutta method of fourth order for periodic initial value problems |
| title_full_unstemmed | A phase-fitted and amplification-fitted modified Runge-Kutta method of fourth order for periodic initial value problems |
| title_short | A phase-fitted and amplification-fitted modified Runge-Kutta method of fourth order for periodic initial value problems |
| title_sort | phase fitted and amplification fitted modified runge kutta method of fourth order for periodic initial value problems |
| url | http://psasir.upm.edu.my/id/eprint/51858/1/A%20phase-fitted%20and%20amplification-fitted%20modified%20Runge-Kutta%20method%20of%20fourth%20order%20for%20periodic%20initial%20value%20problems.pdf |
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