A five-stage singly diagonally implicit Runge-Kutta-Nyström method with reduced phase-lag
In this paper, a singly diagonally implicit Runge-Kutta-Nyström (RKN) method is constructed for solving second-order ordinary differential equations (ODE) with oscillatory solutions. The produced method is 5-stage, algebraic order five, and phase-lag (or dispersion) order eight at a cost of five fun...
| Main Authors: | , , , |
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| Format: | Conference or Workshop Item |
| Language: | English |
| Published: |
American Institute of Physics
2012
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| Online Access: | http://psasir.upm.edu.my/id/eprint/57357/1/A%20five-stage%20singly%20diagonally%20implicit%20Runge-Kutta-Nystr%C3%B6m%20method%20with%20reduced%20phase-lag.pdf |
| _version_ | 1796976676085694464 |
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| author | Moo, Kwong Wing Senu, Norazak Suleiman, Mohamed Ismail, Fudziah |
| author_facet | Moo, Kwong Wing Senu, Norazak Suleiman, Mohamed Ismail, Fudziah |
| author_sort | Moo, Kwong Wing |
| collection | UPM |
| description | In this paper, a singly diagonally implicit Runge-Kutta-Nyström (RKN) method is constructed for solving second-order ordinary differential equations (ODE) with oscillatory solutions. The produced method is 5-stage, algebraic order five, and phase-lag (or dispersion) order eight at a cost of five function evaluations per step. The method is more accurate compare to current existing similar type of methods for the numerical integration of second-order differential equations with periodic solutions by using constant step size. |
| first_indexed | 2024-03-06T09:29:08Z |
| format | Conference or Workshop Item |
| id | upm.eprints-57357 |
| institution | Universiti Putra Malaysia |
| language | English |
| last_indexed | 2024-03-06T09:29:08Z |
| publishDate | 2012 |
| publisher | American Institute of Physics |
| record_format | dspace |
| spelling | upm.eprints-573572017-09-26T04:09:48Z http://psasir.upm.edu.my/id/eprint/57357/ A five-stage singly diagonally implicit Runge-Kutta-Nyström method with reduced phase-lag Moo, Kwong Wing Senu, Norazak Suleiman, Mohamed Ismail, Fudziah In this paper, a singly diagonally implicit Runge-Kutta-Nyström (RKN) method is constructed for solving second-order ordinary differential equations (ODE) with oscillatory solutions. The produced method is 5-stage, algebraic order five, and phase-lag (or dispersion) order eight at a cost of five function evaluations per step. The method is more accurate compare to current existing similar type of methods for the numerical integration of second-order differential equations with periodic solutions by using constant step size. American Institute of Physics 2012 Conference or Workshop Item PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/57357/1/A%20five-stage%20singly%20diagonally%20implicit%20Runge-Kutta-Nystr%C3%B6m%20method%20with%20reduced%20phase-lag.pdf Moo, Kwong Wing and Senu, Norazak and Suleiman, Mohamed and Ismail, Fudziah (2012) A five-stage singly diagonally implicit Runge-Kutta-Nyström method with reduced phase-lag. In: 2nd International Conference on Fundamental and Applied Sciences (ICFAS2012), 12-14 June 2012, Kuala Lumpur Convention Centre, Kuala Lumpur. (pp. 315-320). 10.1063/1.4757486 |
| spellingShingle | Moo, Kwong Wing Senu, Norazak Suleiman, Mohamed Ismail, Fudziah A five-stage singly diagonally implicit Runge-Kutta-Nyström method with reduced phase-lag |
| title | A five-stage singly diagonally implicit Runge-Kutta-Nyström method with reduced phase-lag |
| title_full | A five-stage singly diagonally implicit Runge-Kutta-Nyström method with reduced phase-lag |
| title_fullStr | A five-stage singly diagonally implicit Runge-Kutta-Nyström method with reduced phase-lag |
| title_full_unstemmed | A five-stage singly diagonally implicit Runge-Kutta-Nyström method with reduced phase-lag |
| title_short | A five-stage singly diagonally implicit Runge-Kutta-Nyström method with reduced phase-lag |
| title_sort | five stage singly diagonally implicit runge kutta nystrom method with reduced phase lag |
| url | http://psasir.upm.edu.my/id/eprint/57357/1/A%20five-stage%20singly%20diagonally%20implicit%20Runge-Kutta-Nystr%C3%B6m%20method%20with%20reduced%20phase-lag.pdf |
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