A Minimal Phase-lag RKN for Special Second Order IVPs
Consider the construction of a Runge-Kutta-Nystrom (RKN) method for the integration of special second-order periodic initial value problems (IVPs) without an explicit first derivative. The method has fifth algebraic order, phase-lag order eight with zero dissipative property at a cost of four-stages per step of integration. In the derivation, the error norm is minimized so that the free parameters chosen are obtained from the minimized error norm. Numerical comparisons with an existing method of solving this type of IVPs are presented.
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