A new diagonally implicit Runge-Kutta-Nystrom method for periodic IVPs
A new diagonally implicit Runge-Kutta-Nyström (RKN) method is developed for the integration of initial-value problems for second-order ordinary differential equations possessing oscillatory solutions. Presented is a method which is three-stage fourth-order with dispersive order six and 'small...
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| Format: | Article |
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World Scientific and Engineering Academy and Society (WSEAS) Press
2010
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| Online Access: | http://psasir.upm.edu.my/id/eprint/12743/ |
| _version_ | 1848841918625087488 |
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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 |
| building | UPM Institutional Repository |
| collection | Online Access |
| description | A new diagonally implicit Runge-Kutta-Nyström (RKN) method is developed for the integration of initial-value problems for second-order ordinary differential equations possessing oscillatory solutions. Presented is a method which is three-stage fourth-order with dispersive order six and 'small' principal local truncation error terms and dissipation constant. The analysis of phase-lag,dissipation and stability of the method are also given. This new method is more efficient 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 | 2025-11-15T07:50:52Z |
| format | Article |
| id | upm-12743 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| last_indexed | 2025-11-15T07:50:52Z |
| publishDate | 2010 |
| publisher | World Scientific and Engineering Academy and Society (WSEAS) Press |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-127432015-06-22T01:32:36Z http://psasir.upm.edu.my/id/eprint/12743/ A new diagonally implicit Runge-Kutta-Nystrom method for periodic IVPs Senu, Norazak Suleiman, Mohamed Ismail, Fudziah Othman, Mohamed A new diagonally implicit Runge-Kutta-Nyström (RKN) method is developed for the integration of initial-value problems for second-order ordinary differential equations possessing oscillatory solutions. Presented is a method which is three-stage fourth-order with dispersive order six and 'small' principal local truncation error terms and dissipation constant. The analysis of phase-lag,dissipation and stability of the method are also given. This new method is more efficient when compared with current methods of similar type for the numerical integration of second-order differential equations with periodic solutions, using constant step size. World Scientific and Engineering Academy and Society (WSEAS) Press 2010-09 Article PeerReviewed Senu, Norazak and Suleiman, Mohamed and Ismail, Fudziah and Othman, Mohamed (2010) A new diagonally implicit Runge-Kutta-Nystrom method for periodic IVPs. WSEAS Transactions on Mathematics, 9 (9). pp. 679-688. ISSN 1109-2769; ESSN: 2224-2880 |
| spellingShingle | Senu, Norazak Suleiman, Mohamed Ismail, Fudziah Othman, Mohamed A new diagonally implicit Runge-Kutta-Nystrom method for periodic IVPs |
| title | A new diagonally implicit Runge-Kutta-Nystrom method for periodic IVPs |
| title_full | A new diagonally implicit Runge-Kutta-Nystrom method for periodic IVPs |
| title_fullStr | A new diagonally implicit Runge-Kutta-Nystrom method for periodic IVPs |
| title_full_unstemmed | A new diagonally implicit Runge-Kutta-Nystrom method for periodic IVPs |
| title_short | A new diagonally implicit Runge-Kutta-Nystrom method for periodic IVPs |
| title_sort | new diagonally implicit runge-kutta-nystrom method for periodic ivps |
| url | http://psasir.upm.edu.my/id/eprint/12743/ |