Citation
Senu, Norazak and Suleiman, Mohamed and Ismail, Fudziah and Othman, Mohamed
(2011)
A singly diagonally implicit Runge-Kutta-Nyström method for solving oscillatory problems.
IAENG International Journal of Applied Mathematics, 41 (2).
pp. 155-161.
ISSN 1992-9978; ESSN:1992-9986
Abstract
In this paper a singly diagonally implicit Runge-Kutta-Nyström (RKN) method is developed for second-order ordinary differential equations with periodical solutions. The method has algebraic order four and phase-lag order eight at a cost of four function evaluations per step. This new method is more accurate when compared with current methods of similar type for the numerical integration of second-order differential equations with periodic solutions, using constant step size.
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Additional Metadata
Item Type: | Article |
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Divisions: | Faculty of Science |
Publisher: | IAENG - International Association of Engineers |
Keywords: | Runge-Kutta-Nyström methods; Diagonallyimplicit; Phase-lag; Oscillatory solutions. |
Depositing User: | Nur Farahin Ramli |
Date Deposited: | 27 Aug 2013 02:12 |
Last Modified: | 27 Aug 2013 02:12 |
URI: | http://psasir.upm.edu.my/id/eprint/24858 |
Statistic Details: | View Download Statistic |
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