Zero-dissipative explicit Runge-Kutta method for periodic initial value problems
In this paper zero-dissipative explicit Runge-Kutta method is derived for solving second-order ordinary differential equations with periodical solutions. The phase-lag and dissipation properties for Runge-Kutta (RK) method are also discussed. The new method has algebraic order three with dissipation...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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World Academy of Science, Engineering and Technology
2014
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| Online Access: | http://psasir.upm.edu.my/id/eprint/36043/1/Zero-dissipative%20explicit%20Runge-Kutta%20method%20for%20periodic%20initial%20value%20problems.pdf |
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| author | Senu, Norazak Kasim, I. A. Ismail, Fudziah Bachok @ Lati, Norfifah |
| author_facet | Senu, Norazak Kasim, I. A. Ismail, Fudziah Bachok @ Lati, Norfifah |
| author_sort | Senu, Norazak |
| collection | UPM |
| description | In this paper zero-dissipative explicit Runge-Kutta method is derived for solving second-order ordinary differential equations with periodical solutions. The phase-lag and dissipation properties for Runge-Kutta (RK) method are also discussed. The new method has algebraic order three with dissipation of order infinity. The numerical results for the new method are compared with existing method when solving the second-order differential equations with periodic solutions using constant step size. |
| first_indexed | 2024-03-06T08:34:09Z |
| format | Article |
| id | upm.eprints-36043 |
| institution | Universiti Putra Malaysia |
| language | English |
| last_indexed | 2024-03-06T08:34:09Z |
| publishDate | 2014 |
| publisher | World Academy of Science, Engineering and Technology |
| record_format | dspace |
| spelling | upm.eprints-360432016-04-26T02:21:13Z http://psasir.upm.edu.my/id/eprint/36043/ Zero-dissipative explicit Runge-Kutta method for periodic initial value problems Senu, Norazak Kasim, I. A. Ismail, Fudziah Bachok @ Lati, Norfifah In this paper zero-dissipative explicit Runge-Kutta method is derived for solving second-order ordinary differential equations with periodical solutions. The phase-lag and dissipation properties for Runge-Kutta (RK) method are also discussed. The new method has algebraic order three with dissipation of order infinity. The numerical results for the new method are compared with existing method when solving the second-order differential equations with periodic solutions using constant step size. World Academy of Science, Engineering and Technology 2014 Article PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/36043/1/Zero-dissipative%20explicit%20Runge-Kutta%20method%20for%20periodic%20initial%20value%20problems.pdf Senu, Norazak and Kasim, I. A. and Ismail, Fudziah and Bachok @ Lati, Norfifah (2014) Zero-dissipative explicit Runge-Kutta method for periodic initial value problems. International Journal of Mathematical, Computational, Physical, Electrical and Computer Engineering, 8 (9). pp. 1226-1229. ISSN 2010-376X; ESSN: 2010-3778 http://waset.org/Publications/?path=Publications&q=+Zero-Dissipative+Explicit+Runge-Kutta+Method+for+Periodic+Initial+Value+Problems&search=Search |
| spellingShingle | Senu, Norazak Kasim, I. A. Ismail, Fudziah Bachok @ Lati, Norfifah Zero-dissipative explicit Runge-Kutta method for periodic initial value problems |
| title | Zero-dissipative explicit Runge-Kutta method for periodic initial value problems |
| title_full | Zero-dissipative explicit Runge-Kutta method for periodic initial value problems |
| title_fullStr | Zero-dissipative explicit Runge-Kutta method for periodic initial value problems |
| title_full_unstemmed | Zero-dissipative explicit Runge-Kutta method for periodic initial value problems |
| title_short | Zero-dissipative explicit Runge-Kutta method for periodic initial value problems |
| title_sort | zero dissipative explicit runge kutta method for periodic initial value problems |
| url | http://psasir.upm.edu.my/id/eprint/36043/1/Zero-dissipative%20explicit%20Runge-Kutta%20method%20for%20periodic%20initial%20value%20problems.pdf |
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