A zero-dissipative phase-fitted fourth order diagonally implicit Runge-Kutta-Nyström method for solving oscillatory problems
A new diagonally implicit Runge-Kutta-Nyström (DIRKN) method is constructed for solving second order differential equations with oscillatory solutions. The method is originally based on existing DIRKN method derived by Senu et al. which is three-stage and fourth algebraic order. The new derived meth...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Hindawi Publishing Corporation
2014
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| Online Access: | http://psasir.upm.edu.my/id/eprint/36306/ http://psasir.upm.edu.my/id/eprint/36306/1/36306.pdf |
| _version_ | 1848848295328219136 |
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| author | Moo, Kwong Wing Senu, Norazak Ismail, Fudziah Suleiman, Mohamed |
| author_facet | Moo, Kwong Wing Senu, Norazak Ismail, Fudziah Suleiman, Mohamed |
| author_sort | Moo, Kwong Wing |
| building | UPM Institutional Repository |
| collection | Online Access |
| description | A new diagonally implicit Runge-Kutta-Nyström (DIRKN) method is constructed for solving second order differential equations with oscillatory solutions. The method is originally based on existing DIRKN method derived by Senu et al. which is three-stage and fourth algebraic order. The new derived method has a variable coefficient with phase-lag of order infinity. The numerical experiments are carried out and the results show the efficiency and accuracy of the new method in comparison with the other DIRKN methods in the literature. |
| first_indexed | 2025-11-15T09:32:14Z |
| format | Article |
| id | upm-36306 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T09:32:14Z |
| publishDate | 2014 |
| publisher | Hindawi Publishing Corporation |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-363062016-03-28T04:23:31Z http://psasir.upm.edu.my/id/eprint/36306/ A zero-dissipative phase-fitted fourth order diagonally implicit Runge-Kutta-Nyström method for solving oscillatory problems Moo, Kwong Wing Senu, Norazak Ismail, Fudziah Suleiman, Mohamed A new diagonally implicit Runge-Kutta-Nyström (DIRKN) method is constructed for solving second order differential equations with oscillatory solutions. The method is originally based on existing DIRKN method derived by Senu et al. which is three-stage and fourth algebraic order. The new derived method has a variable coefficient with phase-lag of order infinity. The numerical experiments are carried out and the results show the efficiency and accuracy of the new method in comparison with the other DIRKN methods in the literature. Hindawi Publishing Corporation 2014 Article PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/36306/1/36306.pdf Moo, Kwong Wing and Senu, Norazak and Ismail, Fudziah and Suleiman, Mohamed (2014) A zero-dissipative phase-fitted fourth order diagonally implicit Runge-Kutta-Nyström method for solving oscillatory problems. Mathematical Problems in Engineering, 2014. art. no. 985120. pp. 1-8. ISSN 1024-123X; ESSN: 1563-5147 http://www.hindawi.com/journals/mpe/2014/985120/abs/ 10.1155/2014/985120 |
| spellingShingle | Moo, Kwong Wing Senu, Norazak Ismail, Fudziah Suleiman, Mohamed A zero-dissipative phase-fitted fourth order diagonally implicit Runge-Kutta-Nyström method for solving oscillatory problems |
| title | A zero-dissipative phase-fitted fourth order diagonally implicit Runge-Kutta-Nyström method for solving oscillatory problems |
| title_full | A zero-dissipative phase-fitted fourth order diagonally implicit Runge-Kutta-Nyström method for solving oscillatory problems |
| title_fullStr | A zero-dissipative phase-fitted fourth order diagonally implicit Runge-Kutta-Nyström method for solving oscillatory problems |
| title_full_unstemmed | A zero-dissipative phase-fitted fourth order diagonally implicit Runge-Kutta-Nyström method for solving oscillatory problems |
| title_short | A zero-dissipative phase-fitted fourth order diagonally implicit Runge-Kutta-Nyström method for solving oscillatory problems |
| title_sort | zero-dissipative phase-fitted fourth order diagonally implicit runge-kutta-nyström method for solving oscillatory problems |
| url | http://psasir.upm.edu.my/id/eprint/36306/ http://psasir.upm.edu.my/id/eprint/36306/ http://psasir.upm.edu.my/id/eprint/36306/ http://psasir.upm.edu.my/id/eprint/36306/1/36306.pdf |