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A Zero-dissipative Runge-Kutta-Nyström Method with Minimal Phase-lag for Oscillatory Problems


Citation

Senu, Norazak and Suleiman, Mohamed and Ismail, Fudziah and Othman, Mohamed (2009) A Zero-dissipative Runge-Kutta-Nyström Method with Minimal Phase-lag for Oscillatory Problems. In: The 5th International Conference on Mathmatics, Statistics and Their Application(ICMSA2009), 9-11 June 2009, University of Andalas, Indonesia. .

Abstract / Synopsis

A three-stage third-order explicit Runge-Kutta-Nyström method is developed to integrate second-order differential equations of the form where the solution is oscillatory. Presented are formula which has zero-dissipation, maximum order of dispersion (or minimal phase-lag) and at the same time with ’small’ principal local truncation error terms . The interval of periodicity is investigated and calculated. Numerical comparisons with current methods in the literature show its clear advantage in term of accuracy.


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Additional Metadata

Item Type: Conference or Workshop Item (Paper)
Subject: Runge-Kutta-Nystrom
Subject: Oscillating chemical reactions
Divisions: Institute for Mathematical Research
Keywords: Runge-Kutta-Nyström methods, Phase-lag, Oscillatory solutions
Depositing User: Erni Suraya Abdul Aziz
Date Deposited: 21 Dec 2010 12:04
Last Modified: 21 Dec 2010 12:09
URI: http://psasir.upm.edu.my/id/eprint/8840
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