Fifth order Runge-Kutta-Nyström methods for solving linear second order oscillatory problems

In this paper, order conditions for Runge-Kutta-Nyström (RKN) method for solving second order linear ordinary differential equations (LODEs) are derived up to order six. Based on the order conditions, a new fifth order four-stage RKN method which is specially designed for the integration of second o...

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Bibliographic Details
Main Authors: Salih, Mohammed M., Ismail, Fudziah, Senu, Norazak
Format: Article
Language:English
Published: Pushpa Publishing House 2016
Subjects:
Online Access:http://psasir.upm.edu.my/id/eprint/54314/1/Fifth%20order%20Runge-Kutta-Nystr%C3%B6m%20methods%20.pdf