Embedded pair of extended Runge-Kutta-Nystrom type methods for perturbed oscillators

作者：Fang Yonglei^*; Ming Qinghe

来源：Applied Mathematical Modelling, 2010, 34(9): 2665-2675.

DOI：10.1016/j.apm.2009.12.004

• Extended RKN-type method
• RKN pair
• Perturbed oscillators
• Variable step-size methods

A 5(3) pair of extended Runge-Kutta-Nystrom type methods for the numerical integration of perturbed oscillators is presented. These methods are based on the order conditions of extended Runge-Kutta-Nystrom type methods proposed 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. Commun. 180 (2009) 1777-1794]. The numerical stability and phase properties of the fifth-order methods are analyzed. Numerical experiments are carried out to show the efficiency and robustness of our new methods in comparison with some well known high quality codes proposed in the scientific literature.

• 出版日期2010-9
• 单位枣庄学院