A zero-dissipative Runge-Kutta-Nystrom method with minimal phase-lag
An explicit Runge-Kutta-Nyström method is developed for solving second-order differential equations of the form where the solutions are oscillatory. The method has zero-dissipation with minimal phase-lag at a cost of three-function evaluations per step of integration. Numerical comparisons with RKN3...
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| Format: | Article |
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Hindawi Publishing Corporation
2010
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| _version_ | 1796968321969553408 |
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| author | Senu, Norazak Suleiman, Mohamed Ismail, Fudziah Othman, Mohamed |
| author_facet | Senu, Norazak Suleiman, Mohamed Ismail, Fudziah Othman, Mohamed |
| author_sort | Senu, Norazak |
| collection | UPM |
| description | An explicit Runge-Kutta-Nyström method is developed for solving second-order differential equations of the form where the solutions are oscillatory. The method has zero-dissipation with minimal phase-lag at a cost of three-function evaluations per step of integration. Numerical comparisons with RKN3HS, RKN3V, RKN4G, and RKN4C methods show the preciseness and effectiveness of the method developed. |
| first_indexed | 2024-03-06T07:26:45Z |
| format | Article |
| id | upm.eprints-12898 |
| institution | Universiti Putra Malaysia |
| last_indexed | 2024-03-06T07:26:45Z |
| publishDate | 2010 |
| publisher | Hindawi Publishing Corporation |
| record_format | dspace |
| spelling | upm.eprints-128982015-06-05T13:27:35Z http://psasir.upm.edu.my/id/eprint/12898/ A zero-dissipative Runge-Kutta-Nystrom method with minimal phase-lag Senu, Norazak Suleiman, Mohamed Ismail, Fudziah Othman, Mohamed An explicit Runge-Kutta-Nyström method is developed for solving second-order differential equations of the form where the solutions are oscillatory. The method has zero-dissipation with minimal phase-lag at a cost of three-function evaluations per step of integration. Numerical comparisons with RKN3HS, RKN3V, RKN4G, and RKN4C methods show the preciseness and effectiveness of the method developed. Hindawi Publishing Corporation 2010 Article PeerReviewed Senu, Norazak and Suleiman, Mohamed and Ismail, Fudziah and Othman, Mohamed (2010) A zero-dissipative Runge-Kutta-Nystrom method with minimal phase-lag. Mathematical Problems in Engineering, 2010. art. no. 591341. pp. 1-15. ISSN 1024-123X; ESSN: 1563-5147 http://www.hindawi.com/journals/mpe/2010/591341/ 10.1155/2010/591341 |
| spellingShingle | Senu, Norazak Suleiman, Mohamed Ismail, Fudziah Othman, Mohamed A zero-dissipative Runge-Kutta-Nystrom method with minimal phase-lag |
| title | A zero-dissipative Runge-Kutta-Nystrom method with minimal phase-lag |
| title_full | A zero-dissipative Runge-Kutta-Nystrom method with minimal phase-lag |
| title_fullStr | A zero-dissipative Runge-Kutta-Nystrom method with minimal phase-lag |
| title_full_unstemmed | A zero-dissipative Runge-Kutta-Nystrom method with minimal phase-lag |
| title_short | A zero-dissipative Runge-Kutta-Nystrom method with minimal phase-lag |
| title_sort | zero dissipative runge kutta nystrom method with minimal phase lag |
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