New explicit trigonometrically-fitted fourth-order and fifth-order Runge-Kutta-Nyström methods for periodic initial value problems
In this work, we derive two new Runge-Kutta-Nyström (RKN) methods for solving periodic second order ordinary differential equations. We constructed these methods based on the RKN method of three-stage fourth-order derived by Garcia and RKN method of four-stage fifth-order derived by Hairer. The nume...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Academic Publications
2016
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| Online Access: | http://psasir.upm.edu.my/id/eprint/51865/1/New%20explicit%20trigonometrically-fitted%20fourth-order%20and%20fifth-order%20Runge-Kutta-Nystr%C3%B6m%20methods%20for%20periodic%20initial%20value%20problems.pdf http://psasir.upm.edu.my/id/eprint/51865/ http://www.ijpam.eu/contents/2016-109-3/6/index.html |
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| Institution: | Universiti Putra Malaysia |
| Language: | English |
| Summary: | In this work, we derive two new Runge-Kutta-Nyström (RKN) methods for solving periodic second order ordinary differential equations. We constructed these methods based on the RKN method of three-stage fourth-order derived by Garcia and RKN method of four-stage fifth-order derived by Hairer. The numerical results show that the efficiency of the new methods is more than the other existing methods. |
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