New phase-fitted and amplification-fitted fourth-order and fifth-order Runge-Kutta-Nyström methods for oscillatory problems

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New phase-fitted and amplification-fitted fourth-order and fifth-order Runge-Kutta-Nyström methods for oscillatory problems

Two new Runge-Kutta-Nyström (RKN) methods are constructed for solving second-order differential equations with oscillatory solutions. These two new methods are constructed based on two existing RKN methods. Firstly, a three-stage fourth-order Garcia’s RKN method. Another method is Hairer’s RKN metho...

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Bibliographic Details
Main Authors:	Moo, Kwong Wing, Senu, Norazak, Ismail, Fudziah, Suleiman, Mohamed
Format:	Article
Language:	English
Published:	Hindawi Publishing Corporation 2013
Online Access:	http://psasir.upm.edu.my/id/eprint/30120/ http://psasir.upm.edu.my/id/eprint/30120/1/30120.pdf

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