A fourth order phase-fitted Runge-Kutta-Nyström method for oscillatory problems
In this paper, a new Runge-Kutta-Nyström (RKN) method of fourth algebraic order is constructed. The new method is based on Dormand's Runge-Kutta-Nyström method of algebraic order four, by using the idea of phase-lag of order infinity, a new method for solving second-order ordinary differential...
| Main Authors: | , , , |
|---|---|
| Format: | Conference or Workshop Item |
| Language: | English |
| Published: |
AIP Publishing LLC
2012
|
| Online Access: | http://psasir.upm.edu.my/id/eprint/57315/ http://psasir.upm.edu.my/id/eprint/57315/1/A%20fourth%20order%20phase-fitted%20Runge-Kutta-Nystr%C3%B6m%20method%20for%20oscillatory%20problems.pdf |
| _version_ | 1848853330816663552 |
|---|---|
| author | Moo, Kwong Wing Senu, Norazak Ismail, Fudziah Suleiman, Mohamed |
| author_facet | Moo, Kwong Wing Senu, Norazak Ismail, Fudziah Suleiman, Mohamed |
| author_sort | Moo, Kwong Wing |
| building | UPM Institutional Repository |
| collection | Online Access |
| description | In this paper, a new Runge-Kutta-Nyström (RKN) method of fourth algebraic order is constructed. The new method is based on Dormand's Runge-Kutta-Nyström method of algebraic order four, by using the idea of phase-lag of order infinity, a new method for solving second-order ordinary differential equations (ODE) with oscillatory solutions is derived. Numerical tests show that the new method is more accurate than other existing methods that based on the minimal phase-lag theory. |
| first_indexed | 2025-11-15T10:52:16Z |
| format | Conference or Workshop Item |
| id | upm-57315 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T10:52:16Z |
| publishDate | 2012 |
| publisher | AIP Publishing LLC |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-573152017-09-26T04:02:30Z http://psasir.upm.edu.my/id/eprint/57315/ A fourth order phase-fitted Runge-Kutta-Nyström method for oscillatory problems Moo, Kwong Wing Senu, Norazak Ismail, Fudziah Suleiman, Mohamed In this paper, a new Runge-Kutta-Nyström (RKN) method of fourth algebraic order is constructed. The new method is based on Dormand's Runge-Kutta-Nyström method of algebraic order four, by using the idea of phase-lag of order infinity, a new method for solving second-order ordinary differential equations (ODE) with oscillatory solutions is derived. Numerical tests show that the new method is more accurate than other existing methods that based on the minimal phase-lag theory. AIP Publishing LLC 2012 Conference or Workshop Item PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/57315/1/A%20fourth%20order%20phase-fitted%20Runge-Kutta-Nystr%C3%B6m%20method%20for%20oscillatory%20problems.pdf Moo, Kwong Wing and Senu, Norazak and Ismail, Fudziah and Suleiman, Mohamed (2012) A fourth order phase-fitted Runge-Kutta-Nyström method for oscillatory problems. In: 20th National Symposium on Mathematical Sciences (SKSM20), 18-20 Dec. 2012, Palm Garden Hotel, Putrajaya, Malaysia. (pp. 316-322). 10.1063/1.4801141 |
| spellingShingle | Moo, Kwong Wing Senu, Norazak Ismail, Fudziah Suleiman, Mohamed A fourth order phase-fitted Runge-Kutta-Nyström method for oscillatory problems |
| title | A fourth order phase-fitted Runge-Kutta-Nyström method for oscillatory problems |
| title_full | A fourth order phase-fitted Runge-Kutta-Nyström method for oscillatory problems |
| title_fullStr | A fourth order phase-fitted Runge-Kutta-Nyström method for oscillatory problems |
| title_full_unstemmed | A fourth order phase-fitted Runge-Kutta-Nyström method for oscillatory problems |
| title_short | A fourth order phase-fitted Runge-Kutta-Nyström method for oscillatory problems |
| title_sort | fourth order phase-fitted runge-kutta-nyström method for oscillatory problems |
| url | http://psasir.upm.edu.my/id/eprint/57315/ http://psasir.upm.edu.my/id/eprint/57315/ http://psasir.upm.edu.my/id/eprint/57315/1/A%20fourth%20order%20phase-fitted%20Runge-Kutta-Nystr%C3%B6m%20method%20for%20oscillatory%20problems.pdf |