Citation
Senu, Norazak and Suleiman, Mohamed and Ismail, Fudziah and Othman, Mohamed
(2010)
A new diagonally implicit Runge-Kutta-Nystrom method for periodic IVPs.
WSEAS Transactions on Mathematics, 9 (9).
pp. 679-688.
ISSN 1109-2769; ESSN: 2224-2880
Abstract
A new diagonally implicit Runge-Kutta-Nyström (RKN) method is developed for the integration of initial-value problems for second-order ordinary differential equations possessing oscillatory solutions. Presented is a method which is three-stage fourth-order with dispersive order six and 'small' principal local truncation error terms and dissipation constant. The analysis of phase-lag,dissipation and stability of the method are also given. This new method is more efficient when compared with current methods of similar type for the numerical integration of second-order differential equations with periodic solutions, using constant step size.
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Additional Metadata
| Item Type: | Article |
|---|---|
| Divisions: | Faculty of Science Institute for Mathematical Research |
| Publisher: | World Scientific and Engineering Academy and Society (WSEAS) Press |
| Keywords: | Runge-Kutta-Nyström methods; Diagonally implicit; Phase-lag; Oscillatory solutions |
| Depositing User: | Nurul Ainie Mokhtar |
| Date Deposited: | 22 Jun 2015 01:32 |
| Last Modified: | 22 Jun 2015 01:32 |
| URI: | http://psasir.upm.edu.my/id/eprint/12743 |
| Statistic Details: | View Download Statistic |
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