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)...
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| Format: | Article |
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Global Information Publisher
2009
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| _version_ | 1825945083355070464 |
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| author | Senu, Norazak Suleiman, Mohamed |
| author_facet | Senu, Norazak Suleiman, Mohamed |
| author_sort | Senu, Norazak |
| collection | UPM |
| 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 | 2024-03-06T07:25:59Z |
| format | Article |
| id | upm.eprints-12643 |
| institution | Universiti Putra Malaysia |
| last_indexed | 2024-03-06T07:25:59Z |
| publishDate | 2009 |
| publisher | Global Information Publisher |
| record_format | dspace |
| spelling | upm.eprints-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 |
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