Citation
Senu, Norazak and Kasim, I. A. and Ismail, Fudziah and Bachok @ Lati, Norfifah
(2014)
Zero-dissipative explicit Runge-Kutta method for periodic initial value problems.
International Journal of Mathematical, Computational, Physical, Electrical and Computer Engineering, 8 (9).
pp. 1226-1229.
ISSN 2010-376X; ESSN: 2010-3778
Abstract
In this paper zero-dissipative explicit Runge-Kutta method is derived for solving second-order ordinary differential equations with periodical solutions. The phase-lag and dissipation properties for Runge-Kutta (RK) method are also discussed. The new method has algebraic order three with dissipation of order infinity. The numerical results for the new method are compared with existing method when solving the 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 Academy of Science, Engineering and Technology |
| Keywords: | Dissipation; Oscillatory solutions; Phase-lag; Runge- Kutta methods |
| Depositing User: | Nurul Ainie Mokhtar |
| Date Deposited: | 26 Apr 2016 02:21 |
| Last Modified: | 26 Apr 2016 02:21 |
| URI: | http://psasir.upm.edu.my/id/eprint/36043 |
| Statistic Details: | View Download Statistic |
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