A Zero-dissipative Runge-Kutta-Nyström Method with Minimal Phase-lag for Oscillatory Problems
Senu, Norazak, Suleiman, Mohamed, 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
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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