A symplectic explicit trigonometrically-fitted Runge-Kutta-Nyström method for the numerical solution of periodic problems
In this paper, symplectic third-order three-stage explicit trigonometrically-fitted Runge-Kutta-Nyström (RKN) method for the numerical solution of second order initial value problems with periodic solutions is derived. The numerical results show the accuracy of the new method in comparison with othe...
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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/54946/ http://psasir.upm.edu.my/id/eprint/54946/1/A%20symplectic%20explicit%20trigonometrically-fitted%20Runge-Kutta-Nystr%C3%B6m%20method%20for%20the%20.pdf |
| _version_ | 1848852673735950336 |
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| author | Demba, Musa A. Senu, Norazak Ismail, Fudziah |
| author_facet | Demba, Musa A. Senu, Norazak Ismail, Fudziah |
| author_sort | Demba, Musa A. |
| building | UPM Institutional Repository |
| collection | Online Access |
| description | In this paper, symplectic third-order three-stage explicit trigonometrically-fitted Runge-Kutta-Nyström (RKN) method for the numerical solution of second order initial value problems with periodic solutions is derived. The numerical results show the accuracy of the new method in comparison with other existing symplectic and non-symplectic RKN methods. |
| first_indexed | 2025-11-15T10:41:49Z |
| format | Article |
| id | upm-54946 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T10:41:49Z |
| publishDate | 2016 |
| publisher | Research India Publications |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-549462018-07-10T03:27:26Z http://psasir.upm.edu.my/id/eprint/54946/ A symplectic explicit trigonometrically-fitted Runge-Kutta-Nyström method for the numerical solution of periodic problems Demba, Musa A. Senu, Norazak Ismail, Fudziah In this paper, symplectic third-order three-stage explicit trigonometrically-fitted Runge-Kutta-Nyström (RKN) method for the numerical solution of second order initial value problems with periodic solutions is derived. The numerical results show the accuracy of the new method in comparison with other existing symplectic and non-symplectic RKN methods. Research India Publications 2016 Article PeerReviewed text en http://psasir.upm.edu.my/id/eprint/54946/1/A%20symplectic%20explicit%20trigonometrically-fitted%20Runge-Kutta-Nystr%C3%B6m%20method%20for%20the%20.pdf Demba, Musa A. and Senu, Norazak and Ismail, Fudziah (2016) A symplectic explicit trigonometrically-fitted Runge-Kutta-Nyström method for the numerical solution of periodic problems. International Journal of Applied Engineering Research, 11 (11). pp. 7495-7500. ISSN 0973-4562; ESSN: 1087-1090 |
| spellingShingle | Demba, Musa A. Senu, Norazak Ismail, Fudziah A symplectic explicit trigonometrically-fitted Runge-Kutta-Nyström method for the numerical solution of periodic problems |
| title | A symplectic explicit trigonometrically-fitted Runge-Kutta-Nyström method for the numerical solution of periodic problems |
| title_full | A symplectic explicit trigonometrically-fitted Runge-Kutta-Nyström method for the numerical solution of periodic problems |
| title_fullStr | A symplectic explicit trigonometrically-fitted Runge-Kutta-Nyström method for the numerical solution of periodic problems |
| title_full_unstemmed | A symplectic explicit trigonometrically-fitted Runge-Kutta-Nyström method for the numerical solution of periodic problems |
| title_short | A symplectic explicit trigonometrically-fitted Runge-Kutta-Nyström method for the numerical solution of periodic problems |
| title_sort | symplectic explicit trigonometrically-fitted runge-kutta-nyström method for the numerical solution of periodic problems |
| url | http://psasir.upm.edu.my/id/eprint/54946/ http://psasir.upm.edu.my/id/eprint/54946/1/A%20symplectic%20explicit%20trigonometrically-fitted%20Runge-Kutta-Nystr%C3%B6m%20method%20for%20the%20.pdf |