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A Phase-Fitted Runge-Kutta-Nyström method for the Numerical Solution of Initial Value Problems with Oscillating Solutions

A new Runge-Kutta-Nyström method, with phase-lag of order infinity, for the integration of second-order periodic initial-value problems is developed in this paper. The new method is based on the Dormand and Prince Runge-Kutta-Nyström method of algebraic order four\cite{pa}. Numerical illustrations indicate that the new method is much more efficient than the classical one.

preprint2008arXivOpen access
D. F. PapadopoulosZ. A. AnastassiT. E. Simos
math.NA
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Open access3 authors1 topic
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D. F. PapadopoulosZ. A. AnastassiT. E. Simos

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