Citation
Demba, Musa Ahmed and Senu, Norazak and Ismail, Fudziah
(2016)
New explicit trigonometrically-fitted fourth-order and fifth-order Runge-Kutta-Nyström methods for periodic initial value problems.
International Journal of Pure and Applied Mathematics, 109 (3).
pp. 557-571.
ISSN 1311-8080; ESSN: 1314-3395
Abstract
In this work, we derive two new Runge-Kutta-Nyström (RKN) methods for solving periodic second order ordinary differential equations. We constructed these methods based on the RKN method of three-stage fourth-order derived by Garcia and RKN method of four-stage fifth-order derived by Hairer. The numerical results show that the efficiency of the new methods is more than the other existing methods.
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Official URL or Download Paper: http://www.ijpam.eu/contents/2016-109-3/6/index.ht...
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Additional Metadata
| Item Type: | Article |
|---|---|
| Divisions: | Faculty of Science Institute for Mathematical Research |
| Publisher: | Academic Publications |
| Keywords: | Trigonometric fitting; RKN methods; Periodic initial value problems |
| Depositing User: | Nabilah Mustapa |
| Date Deposited: | 02 May 2017 08:06 |
| Last Modified: | 02 May 2017 08:06 |
| URI: | http://psasir.upm.edu.my/id/eprint/51865 |
| Statistic Details: | View Download Statistic |
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