A Zero-dissipative Runge-Kutta-Nystrom Method with Minimal Phase-lag

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