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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2012
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| 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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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 |
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| 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/ |
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