| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4641507 | Journal of Computational and Applied Mathematics | 2009 | 9 Pages |
Abstract
A new kind of trigonometrically fitted embedded pair of explicit ARKN methods for the numerical integration of perturbed oscillators is presented in this paper. This new pair is based on the trigonometrically fitted ARKN method of order five derived by Yang and Wu in [H.L. Yang, X.Y. Wu, Trigonometrically-fitted ARKN methods for perturbed oscillators, Appl. Numer. Math. 9 (2008) 1375-1395]. We analyze the stability properties, phase-lag (dispersion) and dissipation of the higher-order method of the new pair. Numerical experiments carried out show that our new embedded pair is very competitive in comparison with the embedded pairs proposed in the scientific literature.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Yonglei Fang, Yongzhong Song, Xinyuan Wu,