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

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.

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Official URL: http://dx.doi.org/10.1155/2010/591341

Abstract

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.

Item Type:Conference or Workshop Item (Paper)
Keyword:Runge-Kutta-Nyström methods, Phase-lag, Oscillatory solutions
Subject:Runge-Kutta-Nystrom
Subject:Oscillating chemical reactions
Faculty or Institute:Institute for Mathematical Research
ID Code:8840
Deposited By: Erni Suraya Abdul Aziz
Deposited On:21 Dec 2010 12:04
Last Modified:21 Dec 2010 12:09

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