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A symplectic explicit trigonometrically-fitted Runge-Kutta-Nyström method for the numerical solution of periodic problems

In this paper, symplectic third-order three-stage explicit trigonometrically-fitted Runge-Kutta-Nyström (RKN) method for the numerical solution of second order initial value problems with periodic solutions is derived. The numerical results show the accuracy of the new method in comparison with othe...

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Main Authors: Demba, Musa A., Senu, Norazak, Ismail, Fudziah
Format: Article
Language:English
Published: Research India Publications 2016
Online Access:http://psasir.upm.edu.my/id/eprint/54946/1/A%20symplectic%20explicit%20trigonometrically-fitted%20Runge-Kutta-Nystr%C3%B6m%20method%20for%20the%20.pdf
http://psasir.upm.edu.my/id/eprint/54946/
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spelling my.upm.eprints.549462018-07-10T03:27:26Z http://psasir.upm.edu.my/id/eprint/54946/ A symplectic explicit trigonometrically-fitted Runge-Kutta-Nyström method for the numerical solution of periodic problems Demba, Musa A. Senu, Norazak Ismail, Fudziah In this paper, symplectic third-order three-stage explicit trigonometrically-fitted Runge-Kutta-Nyström (RKN) method for the numerical solution of second order initial value problems with periodic solutions is derived. The numerical results show the accuracy of the new method in comparison with other existing symplectic and non-symplectic RKN methods. Research India Publications 2016 Article PeerReviewed text en http://psasir.upm.edu.my/id/eprint/54946/1/A%20symplectic%20explicit%20trigonometrically-fitted%20Runge-Kutta-Nystr%C3%B6m%20method%20for%20the%20.pdf Demba, Musa A. and Senu, Norazak and Ismail, Fudziah (2016) A symplectic explicit trigonometrically-fitted Runge-Kutta-Nyström method for the numerical solution of periodic problems. International Journal of Applied Engineering Research, 11 (11). pp. 7495-7500. ISSN 0973-4562; ESSN: 1087-1090
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 paper, symplectic third-order three-stage explicit trigonometrically-fitted Runge-Kutta-Nyström (RKN) method for the numerical solution of second order initial value problems with periodic solutions is derived. The numerical results show the accuracy of the new method in comparison with other existing symplectic and non-symplectic RKN methods.
format Article
author Demba, Musa A.
Senu, Norazak
Ismail, Fudziah
spellingShingle Demba, Musa A.
Senu, Norazak
Ismail, Fudziah
A symplectic explicit trigonometrically-fitted Runge-Kutta-Nyström method for the numerical solution of periodic problems
author_facet Demba, Musa A.
Senu, Norazak
Ismail, Fudziah
author_sort Demba, Musa A.
title A symplectic explicit trigonometrically-fitted Runge-Kutta-Nyström method for the numerical solution of periodic problems
title_short A symplectic explicit trigonometrically-fitted Runge-Kutta-Nyström method for the numerical solution of periodic problems
title_full A symplectic explicit trigonometrically-fitted Runge-Kutta-Nyström method for the numerical solution of periodic problems
title_fullStr A symplectic explicit trigonometrically-fitted Runge-Kutta-Nyström method for the numerical solution of periodic problems
title_full_unstemmed A symplectic explicit trigonometrically-fitted Runge-Kutta-Nyström method for the numerical solution of periodic problems
title_sort symplectic explicit trigonometrically-fitted runge-kutta-nyström method for the numerical solution of periodic problems
publisher Research India Publications
publishDate 2016
url http://psasir.upm.edu.my/id/eprint/54946/1/A%20symplectic%20explicit%20trigonometrically-fitted%20Runge-Kutta-Nystr%C3%B6m%20method%20for%20the%20.pdf
http://psasir.upm.edu.my/id/eprint/54946/
_version_ 1643835753890840576
score 13.211869

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