An embedded 5(4) explicit Runge-Kutta-Nyström method with dissipation of high order
A new 5(4) embedded explicit Runge-Kutta-Nystrom (RKN) method with dissipation of high order is developed to solve integration of initial-value problems for second-order ordinary differential equations possessing oscillating solutions. The fifth order formula has dispersive order eight and dissipati...
| Main Authors: | , , , |
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| Format: | Conference or Workshop Item |
| Language: | English |
| Published: |
AIP Publishing LLC
2012
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| Online Access: | http://psasir.upm.edu.my/id/eprint/57326/1/An%20embedded%205%284%29%20explicit%20Runge-Kutta-Nystr%C3%B6m%20method%20with%20dissipation%20of%20high%20order.pdf |
| _version_ | 1825931590386057216 |
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| author | Mohamad, Munirah Senu, Norazak Suleiman, Mohamed Ismail, Fudziah |
| author_facet | Mohamad, Munirah Senu, Norazak Suleiman, Mohamed Ismail, Fudziah |
| author_sort | Mohamad, Munirah |
| collection | UPM |
| description | A new 5(4) embedded explicit Runge-Kutta-Nystrom (RKN) method with dissipation of high order is developed to solve integration of initial-value problems for second-order ordinary differential equations possessing oscillating solutions. The fifth order formula has dispersive order eight and dissipative order nine. The fourth-order embedded formula is obtained to control the local truncation errors. Numerical experiments indicate that the new method is more efficient than the existing embedded explicit RKN methods. |
| first_indexed | 2024-03-06T09:29:03Z |
| format | Conference or Workshop Item |
| id | upm.eprints-57326 |
| institution | Universiti Putra Malaysia |
| language | English |
| last_indexed | 2024-03-06T09:29:03Z |
| publishDate | 2012 |
| publisher | AIP Publishing LLC |
| record_format | dspace |
| spelling | upm.eprints-573262017-09-26T04:04:35Z http://psasir.upm.edu.my/id/eprint/57326/ An embedded 5(4) explicit Runge-Kutta-Nyström method with dissipation of high order Mohamad, Munirah Senu, Norazak Suleiman, Mohamed Ismail, Fudziah A new 5(4) embedded explicit Runge-Kutta-Nystrom (RKN) method with dissipation of high order is developed to solve integration of initial-value problems for second-order ordinary differential equations possessing oscillating solutions. The fifth order formula has dispersive order eight and dissipative order nine. The fourth-order embedded formula is obtained to control the local truncation errors. Numerical experiments indicate that the new method is more efficient than the existing embedded explicit RKN methods. AIP Publishing LLC 2012 Conference or Workshop Item PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/57326/1/An%20embedded%205%284%29%20explicit%20Runge-Kutta-Nystr%C3%B6m%20method%20with%20dissipation%20of%20high%20order.pdf Mohamad, Munirah and Senu, Norazak and Suleiman, Mohamed and Ismail, Fudziah (2012) An embedded 5(4) explicit Runge-Kutta-Nyström method with dissipation of high order. In: 20th National Symposium on Mathematical Sciences (SKSM20), 18-20 Dec. 2012, Palm Garden Hotel, Putrajaya, Malaysia. (pp. 362-369). 10.1063/1.4801147 |
| spellingShingle | Mohamad, Munirah Senu, Norazak Suleiman, Mohamed Ismail, Fudziah An embedded 5(4) explicit Runge-Kutta-Nyström method with dissipation of high order |
| title | An embedded 5(4) explicit Runge-Kutta-Nyström method with dissipation of high order |
| title_full | An embedded 5(4) explicit Runge-Kutta-Nyström method with dissipation of high order |
| title_fullStr | An embedded 5(4) explicit Runge-Kutta-Nyström method with dissipation of high order |
| title_full_unstemmed | An embedded 5(4) explicit Runge-Kutta-Nyström method with dissipation of high order |
| title_short | An embedded 5(4) explicit Runge-Kutta-Nyström method with dissipation of high order |
| title_sort | embedded 5 4 explicit runge kutta nystrom method with dissipation of high order |
| url | http://psasir.upm.edu.my/id/eprint/57326/1/An%20embedded%205%284%29%20explicit%20Runge-Kutta-Nystr%C3%B6m%20method%20with%20dissipation%20of%20high%20order.pdf |
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