Abstract. In this work, we derive two new Runge-Kutta-Nyström (RKN) methods for solving periodic second order ordinary differential equations. We constructed these methods based on the RKN method of three-stage fourth-order derived by Garcia and RKN method of four-stage fifth-order derived by Hairer. The numerical results show that the efficiency of the new methods is more than the other existing methods.

Received: May 22, 2016

Revised: July 5, 2016

Published: October 1, 2016

AMS Subject Classification: 65L05, 65L06

Key Words and Phrases: trigonometric fitting, RKN methods, periodic initial value problems
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DOI: 10.12732/ijpam.v109i3.6 How to cite this paper?

Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2016
Volume: 109
Issue: 3
Pages: 557 - 571

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This work is licensed under the Creative Commons Attribution International License (CC BY).

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