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A new explicit Runge-Kutta-Nystrom method with reduced phase-Lag and FSAL technique.

In this paper a new fourth~order explicit Runge-Kutta-Nystrom(RKN) method with dispersion of high order and FSAL technique for second-order systems of ODE with periodical solutions is introduced. The method has phase-lag order eight at a cost of three function evaluations per step or three effective...

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Main Authors: Senu, Norazak, Che, Thian Fung, Ismail, Fudziah
Format: Conference or Workshop Item
Language:English
English
Published: 2012
Online Access:http://psasir.upm.edu.my/id/eprint/27343/1/ID%2027343.pdf
http://psasir.upm.edu.my/id/eprint/27343/
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spelling my.upm.eprints.273432014-04-09T08:24:40Z http://psasir.upm.edu.my/id/eprint/27343/ A new explicit Runge-Kutta-Nystrom method with reduced phase-Lag and FSAL technique. Senu, Norazak Che, Thian Fung Ismail, Fudziah In this paper a new fourth~order explicit Runge-Kutta-Nystrom(RKN) method with dispersion of high order and FSAL technique for second-order systems of ODE with periodical solutions is introduced. The method has phase-lag order eight at a cost of three function evaluations per step or three effective stages. Numerical experiments show the relevance of the developed algorithm. It is found that the new method is more accurate than the current fourth-order (RKND and RKNH) methods developed by van der Bouwen and Sommeijer (1987) and Dormand (1996) respectively. 2012 Conference or Workshop Item NonPeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/27343/1/ID%2027343.pdf Senu, Norazak and Che, Thian Fung and Ismail, Fudziah (2012) A new explicit Runge-Kutta-Nystrom method with reduced phase-Lag and FSAL technique. In: The 5th Saudi Science Conference, 16-18 Apr. 2012, Makkah, Saudi Arabia. . English
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
English
description In this paper a new fourth~order explicit Runge-Kutta-Nystrom(RKN) method with dispersion of high order and FSAL technique for second-order systems of ODE with periodical solutions is introduced. The method has phase-lag order eight at a cost of three function evaluations per step or three effective stages. Numerical experiments show the relevance of the developed algorithm. It is found that the new method is more accurate than the current fourth-order (RKND and RKNH) methods developed by van der Bouwen and Sommeijer (1987) and Dormand (1996) respectively.
format Conference or Workshop Item
author Senu, Norazak
Che, Thian Fung
Ismail, Fudziah
spellingShingle Senu, Norazak
Che, Thian Fung
Ismail, Fudziah
A new explicit Runge-Kutta-Nystrom method with reduced phase-Lag and FSAL technique.
author_facet Senu, Norazak
Che, Thian Fung
Ismail, Fudziah
author_sort Senu, Norazak
title A new explicit Runge-Kutta-Nystrom method with reduced phase-Lag and FSAL technique.
title_short A new explicit Runge-Kutta-Nystrom method with reduced phase-Lag and FSAL technique.
title_full A new explicit Runge-Kutta-Nystrom method with reduced phase-Lag and FSAL technique.
title_fullStr A new explicit Runge-Kutta-Nystrom method with reduced phase-Lag and FSAL technique.
title_full_unstemmed A new explicit Runge-Kutta-Nystrom method with reduced phase-Lag and FSAL technique.
title_sort new explicit runge-kutta-nystrom method with reduced phase-lag and fsal technique.
publishDate 2012
url http://psasir.upm.edu.my/id/eprint/27343/1/ID%2027343.pdf
http://psasir.upm.edu.my/id/eprint/27343/
_version_ 1643829156728799232
score 13.18916

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