New explicit trigonometrically-fitted fourth-order and fifth-order Runge-Kutta-Nyström methods for periodic initial value problems

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New explicit trigonometrically-fitted fourth-order and fifth-order Runge-Kutta-Nyström methods for periodic initial value problems

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 nume...

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Bibliographic Details
Main Authors:	Demba, Musa Ahmed, Senu, Norazak, Ismail, Fudziah
Format:	Article
Language:	English
Published:	Academic Publications 2016
Online Access:	http://psasir.upm.edu.my/id/eprint/51865/ http://psasir.upm.edu.my/id/eprint/51865/1/New%20explicit%20trigonometrically-fitted%20fourth-order%20and%20fifth-order%20Runge-Kutta-Nystr%C3%B6m%20methods%20for%20periodic%20initial%20value%20problems.pdf

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