A Zero-dissipative Runge-Kutta-Nyström Method with Minimal Phase-lag for Oscillatory Problems
A three-stage third-order explicit Runge-Kutta-Nyström method is developed to integrate second-order differential equations of the form where the solution is oscillatory. Presented are formula which has zero-dissipation, maximum order of dispersion (or minimal phase-lag) and at the same time with...
| Main Authors: | , , , |
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| Format: | Conference or Workshop Item |
| Language: | English |
| Published: |
2009
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| Subjects: | |
| Online Access: | http://psasir.upm.edu.my/id/eprint/8840/ |
| _version_ | 1848840983236575232 |
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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 |
| building | UPM Institutional Repository |
| collection | Online Access |
| description | A three-stage third-order explicit Runge-Kutta-Nyström method is developed to integrate second-order differential equations of the form where the solution is oscillatory. Presented are formula which has zero-dissipation, maximum order of dispersion (or minimal phase-lag) and at the same time with ’small’ principal local truncation error terms . The interval of periodicity is investigated and calculated. Numerical comparisons with current methods in the literature show its clear advantage in term of accuracy. |
| first_indexed | 2025-11-15T07:36:00Z |
| format | Conference or Workshop Item |
| id | upm-8840 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T07:36:00Z |
| publishDate | 2009 |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-88402010-12-21T04:09:02Z http://psasir.upm.edu.my/id/eprint/8840/ A Zero-dissipative Runge-Kutta-Nyström Method with Minimal Phase-lag for Oscillatory Problems Senu, Norazak Suleiman, Mohamed Ismail, Fudziah Othman, Mohamed A three-stage third-order explicit Runge-Kutta-Nyström method is developed to integrate second-order differential equations of the form where the solution is oscillatory. Presented are formula which has zero-dissipation, maximum order of dispersion (or minimal phase-lag) and at the same time with ’small’ principal local truncation error terms . The interval of periodicity is investigated and calculated. Numerical comparisons with current methods in the literature show its clear advantage in term of accuracy. 2009-06-09 Conference or Workshop Item NonPeerReviewed Senu, Norazak and Suleiman, Mohamed and Ismail, Fudziah and Othman, Mohamed (2009) A Zero-dissipative Runge-Kutta-Nyström Method with Minimal Phase-lag for Oscillatory Problems. In: The 5th International Conference on Mathmatics, Statistics and Their Application(ICMSA2009), 9-11 June 2009, University of Andalas, Indonesia. . http://dx.doi.org/10.1155/2010/591341 Runge-Kutta-Nystrom Oscillating chemical reactions English |
| spellingShingle | Runge-Kutta-Nystrom Oscillating chemical reactions Senu, Norazak Suleiman, Mohamed Ismail, Fudziah Othman, Mohamed A Zero-dissipative Runge-Kutta-Nyström Method with Minimal Phase-lag for Oscillatory Problems |
| title | A Zero-dissipative Runge-Kutta-Nyström Method with Minimal Phase-lag for Oscillatory Problems |
| title_full | A Zero-dissipative Runge-Kutta-Nyström Method with Minimal Phase-lag for Oscillatory Problems |
| title_fullStr | A Zero-dissipative Runge-Kutta-Nyström Method with Minimal Phase-lag for Oscillatory Problems |
| title_full_unstemmed | A Zero-dissipative Runge-Kutta-Nyström Method with Minimal Phase-lag for Oscillatory Problems |
| title_short | A Zero-dissipative Runge-Kutta-Nyström Method with Minimal Phase-lag for Oscillatory Problems |
| title_sort | zero-dissipative runge-kutta-nyström method with minimal phase-lag for oscillatory problems |
| topic | Runge-Kutta-Nystrom Oscillating chemical reactions |
| url | http://psasir.upm.edu.my/id/eprint/8840/ http://psasir.upm.edu.my/id/eprint/8840/ |