Citation
Senu, Norazak and Suleiman, Mohamed
(2009)
A 5(4) pair explicit Runge-Kutta-Nystrom method for solving oscillatory problems.
International Journal of Computational Science, 3 (1).
pp. 53-68.
ISSN 1992-6669; ESSN: 1992-6677
Abstract
A new 5(4) pair embedded explicit Runge-Kutta-Nyström method is developed to integrate second-order differential equations of the form y"=f (x,y)where the solution is oscillatory. The embedded formula has dispersive order eight and dissipative order five for the fifth-order 5(4) pair. The 5(4) pair cost four function evaluations at each step of integration. Nu- merical comparisons with current methods such as DOPRI5, RKN5(4)D and RKN5(4)B show the efficiency of the new method developed.
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Additional Metadata
| Item Type: | Article |
|---|---|
| Divisions: | Faculty of Science |
| Publisher: | Global Information Publisher |
| Keywords: | Runge-Kutta-Nystrom methods; Phase-lag; Oscillatory solutions |
| Depositing User: | Nurul Ainie Mokhtar |
| Date Deposited: | 29 May 2015 04:14 |
| Last Modified: | 29 May 2015 04:14 |
| URI: | http://psasir.upm.edu.my/id/eprint/12643 |
| Statistic Details: | View Download Statistic |
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