Abstract
In this paper a singly diagonally implicit Runge-Kutta-Nystrom (RKN) method is developed for second-order ordinary differential equations with pe- riodical solutions. The method has algebraic order four and phase-lag order eight at a cost of four function evaluations per step. This new method is more accurate when compared with current methods of similar type for the numer- ical integration of second-order differential equations with periodic solutions, using constant step size.
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