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...
| Main Authors: | , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
IAENG - International Association of Engineers
2011
|
| Online Access: | http://psasir.upm.edu.my/id/eprint/24858/ |
| _version_ | 1848845150892064768 |
|---|---|
| author | Senu, Norazak Suleiman, Mohamed Ismail, Fudziah Othman, Mohamed |
| author_facet | Senu, Norazak Suleiman, Mohamed Ismail, Fudziah Othman, Mohamed |
| author_sort | Senu, Norazak |
| building | UPM Institutional Repository |
| collection | Online Access |
| 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 | 2025-11-15T08:42:15Z |
| format | Article |
| id | upm-24858 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T08:42:15Z |
| publishDate | 2011 |
| publisher | IAENG - International Association of Engineers |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-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-nyström method for solving oscillatory problems. |
| url | http://psasir.upm.edu.my/id/eprint/24858/ http://psasir.upm.edu.my/id/eprint/24858/ |