Fifth-order four-stage explicit trigonometrically-fitted Runge–Kutta–Nyström methods
In this study, we derive fifth-order four-stage explicit trigonometrically-fitted Runge–Kutta–Nyström (ETFRKN) methods for the numerical integration of second-order initial value problems with oscillatory solutions based on Simos technique. The numerical results show the efficiency of the proposed m...
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| Format: | Book Section |
| Language: | English |
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Springer
2016
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| Online Access: | http://psasir.upm.edu.my/id/eprint/52726/ http://psasir.upm.edu.my/id/eprint/52726/1/Fifth-order%20four-stage%20explicit%20trigonometrically-fitted%20Runge%E2%80%93Kutta%E2%80%93Nystr%C3%B6m%20methods.pdf |
| _version_ | 1848852154691878912 |
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| author | Demba, Musa A. Senu, Norazak Ismail, Fudziah |
| author2 | Kilicman, Adem |
| author_facet | Kilicman, Adem Demba, Musa A. Senu, Norazak Ismail, Fudziah |
| author_sort | Demba, Musa A. |
| building | UPM Institutional Repository |
| collection | Online Access |
| description | In this study, we derive fifth-order four-stage explicit trigonometrically-fitted Runge–Kutta–Nyström (ETFRKN) methods for the numerical integration of second-order initial value problems with oscillatory solutions based on Simos technique. The numerical results show the efficiency of the proposed methods in comparison with other Runge–Kutta–Nyström (RKN) Methods. |
| first_indexed | 2025-11-15T10:33:34Z |
| format | Book Section |
| id | upm-52726 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T10:33:34Z |
| publishDate | 2016 |
| publisher | Springer |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-527262021-09-05T08:22:37Z http://psasir.upm.edu.my/id/eprint/52726/ Fifth-order four-stage explicit trigonometrically-fitted Runge–Kutta–Nyström methods Demba, Musa A. Senu, Norazak Ismail, Fudziah In this study, we derive fifth-order four-stage explicit trigonometrically-fitted Runge–Kutta–Nyström (ETFRKN) methods for the numerical integration of second-order initial value problems with oscillatory solutions based on Simos technique. The numerical results show the efficiency of the proposed methods in comparison with other Runge–Kutta–Nyström (RKN) Methods. Springer Kilicman, Adem Srivastava, Hari M. Mursaleen, M. Abdul Majid, Zanariah 2016 Book Section PeerReviewed text en http://psasir.upm.edu.my/id/eprint/52726/1/Fifth-order%20four-stage%20explicit%20trigonometrically-fitted%20Runge%E2%80%93Kutta%E2%80%93Nystr%C3%B6m%20methods.pdf Demba, Musa A. and Senu, Norazak and Ismail, Fudziah (2016) Fifth-order four-stage explicit trigonometrically-fitted Runge–Kutta–Nyström methods. In: Recent Advances in Mathematical Sciences. Springer, Singapore, pp. 27-36. ISBN 9789811005176; EISBN: 9789811005190 https://link.springer.com/chapter/10.1007/978-981-10-0519-0_3 10.1007/978-981-10-0519-0_3 |
| spellingShingle | Demba, Musa A. Senu, Norazak Ismail, Fudziah Fifth-order four-stage explicit trigonometrically-fitted Runge–Kutta–Nyström methods |
| title | Fifth-order four-stage explicit trigonometrically-fitted Runge–Kutta–Nyström methods |
| title_full | Fifth-order four-stage explicit trigonometrically-fitted Runge–Kutta–Nyström methods |
| title_fullStr | Fifth-order four-stage explicit trigonometrically-fitted Runge–Kutta–Nyström methods |
| title_full_unstemmed | Fifth-order four-stage explicit trigonometrically-fitted Runge–Kutta–Nyström methods |
| title_short | Fifth-order four-stage explicit trigonometrically-fitted Runge–Kutta–Nyström methods |
| title_sort | fifth-order four-stage explicit trigonometrically-fitted runge–kutta–nyström methods |
| url | http://psasir.upm.edu.my/id/eprint/52726/ http://psasir.upm.edu.my/id/eprint/52726/ http://psasir.upm.edu.my/id/eprint/52726/ http://psasir.upm.edu.my/id/eprint/52726/1/Fifth-order%20four-stage%20explicit%20trigonometrically-fitted%20Runge%E2%80%93Kutta%E2%80%93Nystr%C3%B6m%20methods.pdf |