A new optimized Runge-Kutta method for solving oscillatory problems
A new explicit Runge-Kutta method of fifth algebraic order is developed in this paper, for solving second-order ordinary differential equations with oscillatory solutions. The new method has zero phase-lag, zero amplification error and zero first derivative of the phase-lag. Numerical results show t...
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| Format: | Article |
| Language: | English |
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Academic Publications
2016
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| Online Access: | http://psasir.upm.edu.my/id/eprint/51860/1/A%20new%20optimized%20Runge-Kutta%20method%20for%20solving%20oscillatory%20problems.pdf |
| _version_ | 1825930611728056320 |
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| author | Hussain, Kasim Ismail, Fudziah Senu, Norazak |
| author_facet | Hussain, Kasim Ismail, Fudziah Senu, Norazak |
| author_sort | Hussain, Kasim |
| collection | UPM |
| description | A new explicit Runge-Kutta method of fifth algebraic order is developed in this paper, for solving second-order ordinary differential equations with oscillatory solutions. The new method has zero phase-lag, zero amplification error and zero first derivative of the phase-lag. Numerical results show that the new proposed method is more efficient as compared with other Runge-Kutta methods in the scientific literature, for the numerical integration of oscillatory problems. |
| first_indexed | 2024-03-06T09:14:12Z |
| format | Article |
| id | upm.eprints-51860 |
| institution | Universiti Putra Malaysia |
| language | English |
| last_indexed | 2024-03-06T09:14:12Z |
| publishDate | 2016 |
| publisher | Academic Publications |
| record_format | dspace |
| spelling | upm.eprints-518602017-05-02T08:05:22Z http://psasir.upm.edu.my/id/eprint/51860/ A new optimized Runge-Kutta method for solving oscillatory problems Hussain, Kasim Ismail, Fudziah Senu, Norazak A new explicit Runge-Kutta method of fifth algebraic order is developed in this paper, for solving second-order ordinary differential equations with oscillatory solutions. The new method has zero phase-lag, zero amplification error and zero first derivative of the phase-lag. Numerical results show that the new proposed method is more efficient as compared with other Runge-Kutta methods in the scientific literature, for the numerical integration of oscillatory problems. Academic Publications 2016 Article PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/51860/1/A%20new%20optimized%20Runge-Kutta%20method%20for%20solving%20oscillatory%20problems.pdf Hussain, Kasim and Ismail, Fudziah and Senu, Norazak (2016) A new optimized Runge-Kutta method for solving oscillatory problems. International Journal of Pure and Applied Mathematics, 106 (3). pp. 715-726. ISSN 1311-8080; ESSN: 1314-3395 http://www.ijpam.eu/contents/2016-106-3/2/index.html |
| spellingShingle | Hussain, Kasim Ismail, Fudziah Senu, Norazak A new optimized Runge-Kutta method for solving oscillatory problems |
| title | A new optimized Runge-Kutta method for solving oscillatory problems |
| title_full | A new optimized Runge-Kutta method for solving oscillatory problems |
| title_fullStr | A new optimized Runge-Kutta method for solving oscillatory problems |
| title_full_unstemmed | A new optimized Runge-Kutta method for solving oscillatory problems |
| title_short | A new optimized Runge-Kutta method for solving oscillatory problems |
| title_sort | new optimized runge kutta method for solving oscillatory problems |
| url | http://psasir.upm.edu.my/id/eprint/51860/1/A%20new%20optimized%20Runge-Kutta%20method%20for%20solving%20oscillatory%20problems.pdf |
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