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

Norazak Senu, Mohamed Suleiman, Fudziah Ismail and Mohamed Othman

Mathematical Problems in Engineering, 2010, vol. 2010, 1-15

Abstract:

An explicit Runge-Kutta-Nyström method is developed for solving second-order differential equations of the form 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.

Date: 2010
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlmpe:591341

DOI: 10.1155/2010/591341

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