Abstract
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.
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