Citation
Moo, Kwong Wing and Senu, Norazak and Suleiman, Mohamed and Ismail, Fudziah
(2012)
A five-stage singly diagonally implicit Runge-Kutta-Nyström method with reduced phase-lag.
In: 2nd International Conference on Fundamental and Applied Sciences (ICFAS2012), 12-14 June 2012, Kuala Lumpur Convention Centre, Kuala Lumpur. (pp. 315-320).
Abstract
In this paper, a singly diagonally implicit Runge-Kutta-Nyström (RKN) method is constructed for solving second-order ordinary differential equations (ODE) with oscillatory solutions. The produced method is 5-stage, algebraic order five, and phase-lag (or dispersion) order eight at a cost of five function evaluations per step. The method is more accurate compare to current existing similar type of methods for the numerical integration of second-order differential equations with periodic solutions by using constant step size.
Download File
|
Additional Metadata
| Item Type: | Conference or Workshop Item (Paper) |
|---|---|
| Divisions: | Faculty of Science Institute for Mathematical Research |
| DOI Number: | https://doi.org/10.1063/1.4757486 |
| Publisher: | American Institute of Physics |
| Keywords: | Diagonally implicit; Oscillatory solutions; Phase-lag; Runge-Kutta-Nyström methods |
| Depositing User: | Nabilah Mustapa |
| Date Deposited: | 26 Sep 2017 04:09 |
| Last Modified: | 26 Sep 2017 04:09 |
| Altmetrics: | http://www.altmetric.com/details.php?domain=psasir.upm.edu.my&doi=10.1063/1.4757486 |
| URI: | http://psasir.upm.edu.my/id/eprint/57357 |
| Statistic Details: | View Download Statistic |
Actions (login required)
 |
View Item |