Extended RKN-type methods with minimal dispersion error for perturbed oscillators |
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Authors: | Yonglei Fang |
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Affiliation: | a Department of Mathematics and Information Science, Zaozhuang University, Zaozhuang 277160, PR China b State Key Laboratory for Novel Software Technology at Nanjing University; Department of Mathematics, Nanjing University, Nanjing 210093, PR China |
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Abstract: | In this paper, extended Runge-Kutta-Nyström-type methods with minimal dispersion error for the numerical integration of perturbed oscillators are presented, which are based on the order conditions derived by Yang et al. (H.L. Yang, X.Y. Wu, X. You, Y.L. Fang, Extended RKN-type methods for numerical integration of perturbed oscillators, Comput. Phys. Comm. 180 (2009) 1777-1794). The numerical stability and phase properties of the new methods are analyzed. Numerical experiments are reported in comparison with some well-known high quality codes proposed in the scientific literature. |
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Keywords: | 65L05 65L06 |
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