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A singly diagonally implicit Runge-Kutta-Nyström method for solving oscillatory problems.


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
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
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