Explicit Runge-Kutta method with trigonometrically-fitted for solving first order ODEs
In this note, an explicit trigonometrically-fitted (RK) method is developed to determine the approximate solution of the first-order IVPs with oscillatory solution. The proposed method solves first order ODEs by first converting the second order ODEs to an equivalent first order; which is based on t...
| Main Authors: | , , , |
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| Format: | Conference or Workshop Item |
| Language: | English |
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AIP Publishing
2016
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| Online Access: | http://psasir.upm.edu.my/id/eprint/57165/ http://psasir.upm.edu.my/id/eprint/57165/1/Explicit%20Runge-Kutta%20method%20with%20trigonometrically-fitted%20for%20solving%20first%20order%20ODEs.pdf |
| _version_ | 1848853288945975296 |
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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 note, an explicit trigonometrically-fitted (RK) method is developed to determine the approximate solution of the first-order IVPs with oscillatory solution. The proposed method solves first order ODEs by first converting the second order ODEs to an equivalent first order; which is based on the RK method of order four. The numerical experiment performed shows the efficacy of our newly developed method. |
| first_indexed | 2025-11-15T10:51:36Z |
| format | Conference or Workshop Item |
| id | upm-57165 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T10:51:36Z |
| publishDate | 2016 |
| publisher | AIP Publishing |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-571652017-09-08T05:30:33Z http://psasir.upm.edu.my/id/eprint/57165/ Explicit Runge-Kutta method with trigonometrically-fitted for solving first order ODEs Alshareeda, Firas Adel Fawzi Senu, Norazak Ismail, Fudziah Abdul Majid, Zanariah In this note, an explicit trigonometrically-fitted (RK) method is developed to determine the approximate solution of the first-order IVPs with oscillatory solution. The proposed method solves first order ODEs by first converting the second order ODEs to an equivalent first order; which is based on the RK method of order four. The numerical experiment performed shows the efficacy of our newly developed method. AIP Publishing 2016 Conference or Workshop Item PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/57165/1/Explicit%20Runge-Kutta%20method%20with%20trigonometrically-fitted%20for%20solving%20first%20order%20ODEs.pdf Alshareeda, Firas Adel Fawzi and Senu, Norazak and Ismail, Fudziah and Abdul Majid, Zanariah (2016) Explicit Runge-Kutta method with trigonometrically-fitted for solving first order ODEs. In: 2nd International Conference on Mathematical Sciences and Statistics (ICMSS2016), 26-28 Jan. 2016, Kuala Lumpur, Malaysia. (pp. 1-7). http://aip.scitation.org/doi/abs/10.1063/1.4952524 10.1063/1.4952524 |
| spellingShingle | Alshareeda, Firas Adel Fawzi Senu, Norazak Ismail, Fudziah Abdul Majid, Zanariah Explicit Runge-Kutta method with trigonometrically-fitted for solving first order ODEs |
| title | Explicit Runge-Kutta method with trigonometrically-fitted for solving first order ODEs |
| title_full | Explicit Runge-Kutta method with trigonometrically-fitted for solving first order ODEs |
| title_fullStr | Explicit Runge-Kutta method with trigonometrically-fitted for solving first order ODEs |
| title_full_unstemmed | Explicit Runge-Kutta method with trigonometrically-fitted for solving first order ODEs |
| title_short | Explicit Runge-Kutta method with trigonometrically-fitted for solving first order ODEs |
| title_sort | explicit runge-kutta method with trigonometrically-fitted for solving first order odes |
| url | http://psasir.upm.edu.my/id/eprint/57165/ http://psasir.upm.edu.my/id/eprint/57165/ http://psasir.upm.edu.my/id/eprint/57165/ http://psasir.upm.edu.my/id/eprint/57165/1/Explicit%20Runge-Kutta%20method%20with%20trigonometrically-fitted%20for%20solving%20first%20order%20ODEs.pdf |