Citation
Moo, Kwong Wing and Senu, Norazak and Ismail, Fudziah and Suleiman, Mohamed
(2012)
A fourth order phase-fitted Runge-Kutta-Nyström method for oscillatory problems.
In: 20th National Symposium on Mathematical Sciences (SKSM20), 18-20 Dec. 2012, Palm Garden Hotel, Putrajaya, Malaysia. (pp. 316-322).
Abstract
In this paper, a new Runge-Kutta-Nyström (RKN) method of fourth algebraic order is constructed. The new method is based on Dormand's Runge-Kutta-Nyström method of algebraic order four, by using the idea of phase-lag of order infinity, a new method for solving second-order ordinary differential equations (ODE) with oscillatory solutions is derived. Numerical tests show that the new method is more accurate than other existing methods that based on the minimal phase-lag theory.
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Additional Metadata
| Item Type: | Conference or Workshop Item (Paper) |
|---|---|
| Divisions: | Faculty of Science Institute for Mathematical Research |
| DOI Number: | https://doi.org/10.1063/1.4801141 |
| Publisher: | AIP Publishing LLC |
| Keywords: | Oscillatory solutions; Phase-fitted; Phase-lag; Runge-Kutta-Nyström |
| Depositing User: | Nabilah Mustapa |
| Date Deposited: | 26 Sep 2017 04:02 |
| Last Modified: | 26 Sep 2017 04:02 |
| Altmetrics: | http://www.altmetric.com/details.php?domain=psasir.upm.edu.my&doi=10.1063/1.4801141 |
| URI: | http://psasir.upm.edu.my/id/eprint/57315 |
| Statistic Details: | View Download Statistic |
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