Optimized fourth-order Runge-Kutta method for solving oscillatory problems
In this article, we develop a Runge-Kutta method with invalidation of phase lag, phase lag's derivatives and amplification error to solve second-order initial value problem (IVP) with oscillating solutions. The new method depends on the explicit Runge-Kutta method of algebraic order four. Numer...
| Main Authors: | , , , |
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| Format: | Conference or Workshop Item |
| Language: | English |
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AIP Publishing
2016
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| Online Access: | http://psasir.upm.edu.my/id/eprint/57172/1/Optimized%20fourth-order%20Runge-Kutta%20method%20for%20solving%20oscillatory%20problems.pdf |
| _version_ | 1825931559880884224 |
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| author | Hussain, Kasim Abbas Ismail, Fudziah Senu, Norazak Rabiei, Faranak |
| author_facet | Hussain, Kasim Abbas Ismail, Fudziah Senu, Norazak Rabiei, Faranak |
| author_sort | Hussain, Kasim Abbas |
| collection | UPM |
| description | In this article, we develop a Runge-Kutta method with invalidation of phase lag, phase lag's derivatives and amplification error to solve second-order initial value problem (IVP) with oscillating solutions. The new method depends on the explicit Runge-Kutta method of algebraic order four. Numerical tests from its implementation to well-known oscillatory problems illustrate the robustness and competence of the new method as compared to the well-known Runge-Kutta methods in the scientific literature. |
| first_indexed | 2024-03-06T09:28:35Z |
| format | Conference or Workshop Item |
| id | upm.eprints-57172 |
| institution | Universiti Putra Malaysia |
| language | English |
| last_indexed | 2024-03-06T09:28:35Z |
| publishDate | 2016 |
| publisher | AIP Publishing |
| record_format | dspace |
| spelling | upm.eprints-571722017-09-08T05:30:23Z http://psasir.upm.edu.my/id/eprint/57172/ Optimized fourth-order Runge-Kutta method for solving oscillatory problems Hussain, Kasim Abbas Ismail, Fudziah Senu, Norazak Rabiei, Faranak In this article, we develop a Runge-Kutta method with invalidation of phase lag, phase lag's derivatives and amplification error to solve second-order initial value problem (IVP) with oscillating solutions. The new method depends on the explicit Runge-Kutta method of algebraic order four. Numerical tests from its implementation to well-known oscillatory problems illustrate the robustness and competence of the new method as compared to the well-known Runge-Kutta methods in the scientific literature. AIP Publishing 2016 Conference or Workshop Item PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/57172/1/Optimized%20fourth-order%20Runge-Kutta%20method%20for%20solving%20oscillatory%20problems.pdf Hussain, Kasim Abbas and Ismail, Fudziah and Senu, Norazak and Rabiei, Faranak (2016) Optimized fourth-order Runge-Kutta method for solving oscillatory problems. In: 2nd International Conference on Mathematical Sciences and Statistics (ICMSS2016), 26-28 Jan. 2016, Kuala Lumpur, Malaysia. (pp. 1-6). http://aip.scitation.org/doi/abs/10.1063/1.4952512 10.1063/1.4952512 |
| spellingShingle | Hussain, Kasim Abbas Ismail, Fudziah Senu, Norazak Rabiei, Faranak Optimized fourth-order Runge-Kutta method for solving oscillatory problems |
| title | Optimized fourth-order Runge-Kutta method for solving oscillatory problems |
| title_full | Optimized fourth-order Runge-Kutta method for solving oscillatory problems |
| title_fullStr | Optimized fourth-order Runge-Kutta method for solving oscillatory problems |
| title_full_unstemmed | Optimized fourth-order Runge-Kutta method for solving oscillatory problems |
| title_short | Optimized fourth-order Runge-Kutta method for solving oscillatory problems |
| title_sort | optimized fourth order runge kutta method for solving oscillatory problems |
| url | http://psasir.upm.edu.my/id/eprint/57172/1/Optimized%20fourth-order%20Runge-Kutta%20method%20for%20solving%20oscillatory%20problems.pdf |
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