A Zero-Dissipative Runge-Kutta-Nyström Method with Minimal Phase-Lag

الملخص EN

An explicit Runge-Kutta-Nyström method is developed for solving second-order differential equations of the form q′′=f(t,q) where the solutions are oscillatory.

The method has zero-dissipation with minimal phase-lag at a cost of three-function evaluations per step of integration.

Numerical comparisons with RKN3HS, RKN3V, RKN4G, and RKN4C methods show the preciseness and effectiveness of the method developed.