A fifth order phase-fitted Runge-Kutta-Nyström method for periodic initial value problems

A fifth order phase-fitted Runge-Kutta-Nyström method for periodic initial value problems

A new Runge-Kutta-Nyström (RKN) method with phase-lag of order infinity for solving second order periodic initial value problems possessing oscillating solutions is derived in this paper. The derivation of phase-fitted four stage explicit RKN method with algebraic order five is discussed. The numeri...

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Main Authors: Mohamad, Munirah, Senu, Norazak, Suleiman, Mohamed, Ismail, Fudziah
Format: Conference or Workshop Item
Language:English
Published: AIP Publishing LLC 2013
Online Access:http://psasir.upm.edu.my/id/eprint/57213/1/A%20fifth%20order%20phase-fitted%20Runge-Kutta-Nystr%C3%B6m%20method%20for%20periodic%20initial%20value%20problems.pdf
http://psasir.upm.edu.my/id/eprint/57213/
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Institution: Universiti Putra Malaysia
Language: English
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spelling my.upm.eprints.572132017-09-26T03:42:52Z http://psasir.upm.edu.my/id/eprint/57213/ A fifth order phase-fitted Runge-Kutta-Nyström method for periodic initial value problems Mohamad, Munirah Senu, Norazak Suleiman, Mohamed Ismail, Fudziah A new Runge-Kutta-Nyström (RKN) method with phase-lag of order infinity for solving second order periodic initial value problems possessing oscillating solutions is derived in this paper. The derivation of phase-fitted four stage explicit RKN method with algebraic order five is discussed. The numerical results show that the new method is much more efficient than the existing methods in the literature. AIP Publishing LLC 2013 Conference or Workshop Item PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/57213/1/A%20fifth%20order%20phase-fitted%20Runge-Kutta-Nystr%C3%B6m%20method%20for%20periodic%20initial%20value%20problems.pdf Mohamad, Munirah and Senu, Norazak and Suleiman, Mohamed and Ismail, Fudziah (2013) A fifth order phase-fitted Runge-Kutta-Nyström method for periodic initial value problems. In: International Conference on Mathematical Sciences and Statistics 2013 (ICMSS2013), 5-7 Feb. 2013, Kuala Lumpur, Malaysia. (pp. 229-232). 10.1063/1.4823909
institution Universiti Putra Malaysia
building UPM Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Putra Malaysia
content_source UPM Institutional Repository
url_provider http://psasir.upm.edu.my/
language English
description A new Runge-Kutta-Nyström (RKN) method with phase-lag of order infinity for solving second order periodic initial value problems possessing oscillating solutions is derived in this paper. The derivation of phase-fitted four stage explicit RKN method with algebraic order five is discussed. The numerical results show that the new method is much more efficient than the existing methods in the literature.
format Conference or Workshop Item
author Mohamad, Munirah
Senu, Norazak
Suleiman, Mohamed
Ismail, Fudziah
spellingShingle Mohamad, Munirah
Senu, Norazak
Suleiman, Mohamed
Ismail, Fudziah
A fifth order phase-fitted Runge-Kutta-Nyström method for periodic initial value problems
author_facet Mohamad, Munirah
Senu, Norazak
Suleiman, Mohamed
Ismail, Fudziah
author_sort Mohamad, Munirah
title A fifth order phase-fitted Runge-Kutta-Nyström method for periodic initial value problems
title_short A fifth order phase-fitted Runge-Kutta-Nyström method for periodic initial value problems
title_full A fifth order phase-fitted Runge-Kutta-Nyström method for periodic initial value problems
title_fullStr A fifth order phase-fitted Runge-Kutta-Nyström method for periodic initial value problems
title_full_unstemmed A fifth order phase-fitted Runge-Kutta-Nyström method for periodic initial value problems
title_sort fifth order phase-fitted runge-kutta-nyström method for periodic initial value problems
publisher AIP Publishing LLC
publishDate 2013
url http://psasir.upm.edu.my/id/eprint/57213/1/A%20fifth%20order%20phase-fitted%20Runge-Kutta-Nystr%C3%B6m%20method%20for%20periodic%20initial%20value%20problems.pdf
http://psasir.upm.edu.my/id/eprint/57213/
_version_ 1643836420171759616

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