Citation
Moo, Kwong Wing and Senu, Norazak and Ismail, Fudziah and Suleiman, Mohamed
(2013)
New phase-fitted and amplification-fitted fourth-order and fifth-order Runge-Kutta-Nyström methods for oscillatory problems.
Abstract and Applied Analysis, 2013.
art. no. 939367.
pp. 1-9.
ISSN 1085-3375; ESSN: 1687-0409
Abstract
Two new Runge-Kutta-Nyström (RKN) methods are constructed for solving second-order differential equations with oscillatory solutions. These two new methods are constructed based on two existing RKN methods. Firstly, a three-stage fourth-order Garcia’s RKN method. Another method is Hairer’s RKN method of four-stage fifth-order. Both new derived methods have two variable coefficients with phase-lag of order infinity and zero amplification error (zero dissipative). Numerical tests are performed and the results show that the new methods are more accurate than the other methods in the literature.
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Additional Metadata
| Item Type: | Article |
|---|---|
| Divisions: | Faculty of Science Institute for Mathematical Research |
| DOI Number: | https://doi.org/10.1155/2013/939367 |
| Publisher: | Hindawi Publishing Corporation |
| Keywords: | Runge-Kutta-Nystrom method; Numerical comparison; Runge-Kutta; Differential equation |
| Depositing User: | Umikalthom Abdullah |
| Date Deposited: | 01 Jul 2014 07:24 |
| Last Modified: | 20 Oct 2017 04:14 |
| Altmetrics: | http://www.altmetric.com/details.php?domain=psasir.upm.edu.my&doi=10.1155/2013/939367 |
| URI: | http://psasir.upm.edu.my/id/eprint/30120 |
| Statistic Details: | View Download Statistic |
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