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A new diagonally implicit Runge-Kutta-Nystrom method for periodic IVPs


Citation

Senu, Norazak and Suleiman, Mohamed and Ismail, Fudziah and Othman, Mohamed (2010) A new diagonally implicit Runge-Kutta-Nystrom method for periodic IVPs. WSEAS Transactions on Mathematics, 9 (9). pp. 679-688. ISSN 1109-2769; ESSN: 2224-2880

Abstract

A new diagonally implicit Runge-Kutta-Nyström (RKN) method is developed for the integration of initial-value problems for second-order ordinary differential equations possessing oscillatory solutions. Presented is a method which is three-stage fourth-order with dispersive order six and 'small' principal local truncation error terms and dissipation constant. The analysis of phase-lag,dissipation and stability of the method are also given. This new method is more efficient 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
Institute for Mathematical Research
Publisher: World Scientific and Engineering Academy and Society (WSEAS) Press
Keywords: Runge-Kutta-Nyström methods; Diagonally implicit; Phase-lag; Oscillatory solutions
Depositing User: Nurul Ainie Mokhtar
Date Deposited: 22 Jun 2015 01:32
Last Modified: 22 Jun 2015 01:32
URI: http://psasir.upm.edu.my/id/eprint/12743
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