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

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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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/51865/1/New%20explicit%20trigonometrically-fitted%20fourth-order%20and%20fifth-order%20Runge-Kutta-Nystr%C3%B6m%20methods%20for%20periodic%20initial%20value%20problems.pdf
http://psasir.upm.edu.my/id/eprint/51865/
http://www.ijpam.eu/contents/2016-109-3/6/index.html
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Institution: Universiti Putra Malaysia
Language: English
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spelling my.upm.eprints.518652017-05-02T08:06:05Z http://psasir.upm.edu.my/id/eprint/51865/ New explicit trigonometrically-fitted fourth-order and fifth-order Runge-Kutta-Nyström methods for periodic initial value problems Demba, Musa Ahmed Senu, Norazak Ismail, Fudziah 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. Academic Publications 2016 Article PeerReviewed application/pdf en 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 Demba, Musa Ahmed and Senu, Norazak and Ismail, Fudziah (2016) New explicit trigonometrically-fitted fourth-order and fifth-order Runge-Kutta-Nyström methods for periodic initial value problems. International Journal of Pure and Applied Mathematics, 109 (3). pp. 557-571. ISSN 1311-8080; ESSN: 1314-3395 http://www.ijpam.eu/contents/2016-109-3/6/index.html
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 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.
format Article
author Demba, Musa Ahmed
Senu, Norazak
Ismail, Fudziah
spellingShingle Demba, Musa Ahmed
Senu, Norazak
Ismail, Fudziah
New explicit trigonometrically-fitted fourth-order and fifth-order Runge-Kutta-Nyström methods for periodic initial value problems
author_facet Demba, Musa Ahmed
Senu, Norazak
Ismail, Fudziah
author_sort Demba, Musa Ahmed
title New explicit trigonometrically-fitted fourth-order and fifth-order Runge-Kutta-Nyström methods for periodic initial value problems
title_short New explicit trigonometrically-fitted fourth-order and fifth-order Runge-Kutta-Nyström methods for periodic initial value problems
title_full New explicit trigonometrically-fitted fourth-order and fifth-order Runge-Kutta-Nyström methods for periodic initial value problems
title_fullStr New explicit trigonometrically-fitted fourth-order and fifth-order Runge-Kutta-Nyström methods for periodic initial value problems
title_full_unstemmed New explicit trigonometrically-fitted fourth-order and fifth-order Runge-Kutta-Nyström methods for periodic initial value problems
title_sort new explicit trigonometrically-fitted fourth-order and fifth-order runge-kutta-nyström methods for periodic initial value problems
publisher Academic Publications
publishDate 2016
url 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
http://psasir.upm.edu.my/id/eprint/51865/
http://www.ijpam.eu/contents/2016-109-3/6/index.html
_version_ 1643835079254867968

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