An embedded explicit Runge-Kutta-Nystrom method for solving oscillatory problems

A new pair of embedded explicit Runge–Kutta–Nyström (RKN) methods is developed to integrate second-order differential equations of the form q00=f(t,q) where the solution is oscillatory. The embedded formula has dispersion order eight and dissipation order seven for the fifth-order formula. The cost...

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Bibliographic Details
Main Authors: Senu, Norazak, Suleiman, Mohamed, Ismail, Fudziah
Format: Article
Published: Institute of Physics Publishing 2009