A 5(4) pair explicit Runge-Kutta-Nystrom method for solving oscillatory problems
A new 5(4) pair embedded explicit Runge-Kutta-Nyström method is developed to integrate second-order differential equations of the form y"=f (x,y)where the solution is oscillatory. The embedded formula has dispersive order eight and dissipative order five for the fifth-order 5(4) pair. The 5(4)...
| Main Authors: | , |
|---|---|
| Format: | Article |
| Published: |
Global Information Publisher
2009
|
| Online Access: | http://psasir.upm.edu.my/id/eprint/12643/ |
| _version_ | 1848841890193997824 |
|---|---|
| author | Senu, Norazak Suleiman, Mohamed |
| author_facet | Senu, Norazak Suleiman, Mohamed |
| author_sort | Senu, Norazak |
| building | UPM Institutional Repository |
| collection | Online Access |
| description | A new 5(4) pair embedded explicit Runge-Kutta-Nyström method is developed to integrate second-order differential equations of the form y"=f (x,y)where the solution is oscillatory. The embedded formula has dispersive order eight and dissipative order five for the fifth-order 5(4) pair. The 5(4) pair cost four function evaluations at each step of integration. Nu-
merical comparisons with current methods such as DOPRI5, RKN5(4)D and RKN5(4)B show the efficiency of the new method developed. |
| first_indexed | 2025-11-15T07:50:25Z |
| format | Article |
| id | upm-12643 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| last_indexed | 2025-11-15T07:50:25Z |
| publishDate | 2009 |
| publisher | Global Information Publisher |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-126432015-05-29T04:14:26Z http://psasir.upm.edu.my/id/eprint/12643/ A 5(4) pair explicit Runge-Kutta-Nystrom method for solving oscillatory problems Senu, Norazak Suleiman, Mohamed A new 5(4) pair embedded explicit Runge-Kutta-Nyström method is developed to integrate second-order differential equations of the form y"=f (x,y)where the solution is oscillatory. The embedded formula has dispersive order eight and dissipative order five for the fifth-order 5(4) pair. The 5(4) pair cost four function evaluations at each step of integration. Nu- merical comparisons with current methods such as DOPRI5, RKN5(4)D and RKN5(4)B show the efficiency of the new method developed. Global Information Publisher 2009 Article PeerReviewed Senu, Norazak and Suleiman, Mohamed (2009) A 5(4) pair explicit Runge-Kutta-Nystrom method for solving oscillatory problems. International Journal of Computational Science, 3 (1). pp. 53-68. ISSN 1992-6669; ESSN: 1992-6677 |
| spellingShingle | Senu, Norazak Suleiman, Mohamed A 5(4) pair explicit Runge-Kutta-Nystrom method for solving oscillatory problems |
| title | A 5(4) pair explicit Runge-Kutta-Nystrom method for solving oscillatory problems |
| title_full | A 5(4) pair explicit Runge-Kutta-Nystrom method for solving oscillatory problems |
| title_fullStr | A 5(4) pair explicit Runge-Kutta-Nystrom method for solving oscillatory problems |
| title_full_unstemmed | A 5(4) pair explicit Runge-Kutta-Nystrom method for solving oscillatory problems |
| title_short | A 5(4) pair explicit Runge-Kutta-Nystrom method for solving oscillatory problems |
| title_sort | 5(4) pair explicit runge-kutta-nystrom method for solving oscillatory problems |
| url | http://psasir.upm.edu.my/id/eprint/12643/ |