A zero-dissipative Runge-Kutta-Nystrm method with minimal phase-lag

Abstract

An explicit Runge-Kutta-Nystrm 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. © 2010 Norazak Senu et al.