Citation
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. .
Abstract
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.
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Official URL or Download Paper: http://dx.doi.org/10.1155/2010/591341
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Additional Metadata
| Item Type: | Conference or Workshop Item (Paper) |
|---|---|
| Subject: | Runge-Kutta-Nystrom |
| Subject: | Oscillating chemical reactions |
| Divisions: | Institute for Mathematical Research |
| Keywords: | Runge-Kutta-Nyström methods, Phase-lag, Oscillatory solutions |
| Depositing User: | Erni Suraya Abdul Aziz |
| Date Deposited: | 21 Dec 2010 04:04 |
| Last Modified: | 21 Dec 2010 04:09 |
| URI: | http://psasir.upm.edu.my/id/eprint/8840 |
| Statistic Details: | View Download Statistic |
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