A new fourth-order four stage explicit trigonometrically-fitted Runge–Kutta–Nyström method for solving periodic problems
In this work, a new fourth order four stage explicit trigonometrically-fitted Runge-Kutta-Nyström (ETFRKN) method for the numerical solution of second order initial value problems with periodic solutions based on Simos technique is constructed. The numerical results show the efficiency of the new me...
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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/57167/ http://psasir.upm.edu.my/id/eprint/57167/1/A%20new%20fourth-order%20four%20stage%20explicit%20trigonometrically-fitted%20Runge%E2%80%93Kutta%E2%80%93Nystr%C3%B6m%20method%20for%20solving%20periodic%20problems.pdf |
| _version_ | 1848853289494380544 |
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| author | Demba, Musa Ahmed Senu, Norazak Ismail, Fudziah |
| author_facet | Demba, Musa Ahmed Senu, Norazak Ismail, Fudziah |
| author_sort | Demba, Musa Ahmed |
| building | UPM Institutional Repository |
| collection | Online Access |
| description | In this work, a new fourth order four stage explicit trigonometrically-fitted Runge-Kutta-Nyström (ETFRKN) method for the numerical solution of second order initial value problems with periodic solutions based on Simos technique is constructed. The numerical results show the efficiency of the new method in comparison with other existing methods. |
| first_indexed | 2025-11-15T10:51:36Z |
| format | Conference or Workshop Item |
| id | upm-57167 |
| 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-571672017-09-08T05:32:15Z http://psasir.upm.edu.my/id/eprint/57167/ A new fourth-order four stage explicit trigonometrically-fitted Runge–Kutta–Nyström method for solving periodic problems Demba, Musa Ahmed Senu, Norazak Ismail, Fudziah In this work, a new fourth order four stage explicit trigonometrically-fitted Runge-Kutta-Nyström (ETFRKN) method for the numerical solution of second order initial value problems with periodic solutions based on Simos technique is constructed. The numerical results show the efficiency of the new method in comparison with other existing methods. AIP Publishing 2016 Conference or Workshop Item PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/57167/1/A%20new%20fourth-order%20four%20stage%20explicit%20trigonometrically-fitted%20Runge%E2%80%93Kutta%E2%80%93Nystr%C3%B6m%20method%20for%20solving%20periodic%20problems.pdf Demba, Musa Ahmed and Senu, Norazak and Ismail, Fudziah (2016) A new fourth-order four stage explicit trigonometrically-fitted Runge–Kutta–Nyström method for solving periodic problems. In: 2nd International Conference on Mathematical Sciences and Statistics (ICMSS2016), 26-28 Jan. 2016, Kuala Lumpur, Malaysia. (pp. 1-8). http://aip.scitation.org/doi/abs/10.1063/1.4952521 10.1063/1.4952521 |
| spellingShingle | Demba, Musa Ahmed Senu, Norazak Ismail, Fudziah A new fourth-order four stage explicit trigonometrically-fitted Runge–Kutta–Nyström method for solving periodic problems |
| title | A new fourth-order four stage explicit trigonometrically-fitted Runge–Kutta–Nyström method for solving periodic problems |
| title_full | A new fourth-order four stage explicit trigonometrically-fitted Runge–Kutta–Nyström method for solving periodic problems |
| title_fullStr | A new fourth-order four stage explicit trigonometrically-fitted Runge–Kutta–Nyström method for solving periodic problems |
| title_full_unstemmed | A new fourth-order four stage explicit trigonometrically-fitted Runge–Kutta–Nyström method for solving periodic problems |
| title_short | A new fourth-order four stage explicit trigonometrically-fitted Runge–Kutta–Nyström method for solving periodic problems |
| title_sort | new fourth-order four stage explicit trigonometrically-fitted runge–kutta–nyström method for solving periodic problems |
| url | http://psasir.upm.edu.my/id/eprint/57167/ http://psasir.upm.edu.my/id/eprint/57167/ http://psasir.upm.edu.my/id/eprint/57167/ http://psasir.upm.edu.my/id/eprint/57167/1/A%20new%20fourth-order%20four%20stage%20explicit%20trigonometrically-fitted%20Runge%E2%80%93Kutta%E2%80%93Nystr%C3%B6m%20method%20for%20solving%20periodic%20problems.pdf |