A singly diagonally implicit Runge-Kutta-Nyström method for solving oscillatory problems.
In this paper a singly diagonally implicit Runge-Kutta-Nyström (RKN) method is developed for second-order ordinary differential equations with periodical solutions. The method has algebraic order four and phase-lag order eight at a cost of four function evaluations per step. This new method is m...
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| Format: | Article |
| Language: | English |
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IAENG - International Association of Engineers
2011
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| _version_ | 1796970643460194304 |
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| author | Senu, Norazak Suleiman, Mohamed Ismail, Fudziah Othman, Mohamed |
| author_facet | Senu, Norazak Suleiman, Mohamed Ismail, Fudziah Othman, Mohamed |
| author_sort | Senu, Norazak |
| collection | UPM |
| description | In this paper a singly diagonally implicit Runge-Kutta-Nyström (RKN) method is developed for second-order
ordinary differential equations with periodical solutions. The
method has algebraic order four and phase-lag order eight at a
cost of four function evaluations per step. This new method is
more accurate when compared with current methods of similar
type for the numerical integration of second-order differential equations with periodic solutions, using constant step size. |
| first_indexed | 2024-03-06T08:01:06Z |
| format | Article |
| id | upm.eprints-24858 |
| institution | Universiti Putra Malaysia |
| language | English |
| last_indexed | 2024-03-06T08:01:06Z |
| publishDate | 2011 |
| publisher | IAENG - International Association of Engineers |
| record_format | dspace |
| spelling | upm.eprints-248582013-08-27T02:12:11Z http://psasir.upm.edu.my/id/eprint/24858/ A singly diagonally implicit Runge-Kutta-Nyström method for solving oscillatory problems. Senu, Norazak Suleiman, Mohamed Ismail, Fudziah Othman, Mohamed In this paper a singly diagonally implicit Runge-Kutta-Nyström (RKN) method is developed for second-order ordinary differential equations with periodical solutions. The method has algebraic order four and phase-lag order eight at a cost of four function evaluations per step. This new method is more accurate when compared with current methods of similar type for the numerical integration of second-order differential equations with periodic solutions, using constant step size. IAENG - International Association of Engineers 2011 Article PeerReviewed Senu, Norazak and Suleiman, Mohamed and Ismail, Fudziah and Othman, Mohamed (2011) A singly diagonally implicit Runge-Kutta-Nyström method for solving oscillatory problems. IAENG International Journal of Applied Mathematics, 41 (2). pp. 155-161. ISSN 1992-9978; ESSN:1992-9986 http://www.iaeng.org/ English |
| spellingShingle | Senu, Norazak Suleiman, Mohamed Ismail, Fudziah Othman, Mohamed A singly diagonally implicit Runge-Kutta-Nyström method for solving oscillatory problems. |
| title | A singly diagonally implicit Runge-Kutta-Nyström method for solving oscillatory problems. |
| title_full | A singly diagonally implicit Runge-Kutta-Nyström method for solving oscillatory problems. |
| title_fullStr | A singly diagonally implicit Runge-Kutta-Nyström method for solving oscillatory problems. |
| title_full_unstemmed | A singly diagonally implicit Runge-Kutta-Nyström method for solving oscillatory problems. |
| title_short | A singly diagonally implicit Runge-Kutta-Nyström method for solving oscillatory problems. |
| title_sort | singly diagonally implicit runge kutta nystrom method for solving oscillatory problems |
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