A 5(4) embedded pair of explicit trigonometrically-fitted Runge-Kutta-Nyström methods for the numerical solution of oscillatory initial value problems

被引：8
作者：
Demba M.A. [1 ,2 ]
Senu N. [1 ]
Ismail F. [2 ]
机构：
[1] Department of Mathematics, Universiti Putra Malaysia, Serdang
[2] Department of Mathematics, Institute for Mathematical Research, Universiti Putra Malaysia, Serdang
来源：
Mathematical and Computational Applications | 2016年 / 21卷 / 04期
关键词：
Oscillatory initial value problems; Runge-Kutta-Nyström method; Trigonometric fitting;
D O I：
10.3390/mca21040046
中图分类号：
学科分类号：
摘要：
A 5(4) pair of embedded explicit trigonometrically-fitted Runge-Kutta-Nyström (EETFRKN) methods especially designed for the numerical integration of second order initial value problems with oscillatory solutions is presented in this paper. Algebraic order analysis and the interval of absolute stability for the new method are also discussed. The new method is capable of integrating the test equation y″ = -w2y. The new method is much more efficient than the other existing Runge-Kutta and Runge-Kutta-Nyström methods. © 2016 by the authors; licensee MDPI.
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