A New Diagonally Implicit Runge-Kutta-Nyström Method for Periodic IVPs
نویسندگان
چکیده
A new diagonally implicit Runge-Kutta-Nyström (RKN) method is developed for the integration of initial-value problems for second-order ordinary differential equations possessing oscillatory solutions. Presented is a method which is three-stage fourth-order with dispersive order six and 'small' principal local truncation error terms and dissipation constant. The analysis of phase-lag, dissipation and stability of the method are also given. This new method is more efficient when compared with current methods of similar type for the numerical integration of second-order differential equations with periodic solutions, using constant step size. Key-Words: Runge-Kutta-Nyström methods; Diagonally implicit; Phase-lag; Oscillatory solutions
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