Embedded singly diagonally implicit Runge-Kutta methods (4,5) in (5,6). For the integration of stiff systems of ODEs
In this paper, fourth order, five-stage embedded in fifth order six-stage Singly Diagonally Implicit Runge-Kutta (SDIRK) methods are derived, and their regions of stability are determined. Numerical results of these methods are presented and compared with the results obtained when the same systems a...
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Overseas Publishers Association
1998
|
| Online Access: | http://psasir.upm.edu.my/id/eprint/51176/ http://psasir.upm.edu.my/id/eprint/51176/1/Embedded%20singly%20diagonally%20implicit%20Runge-Kutta%20methods%20%284%2C5%29%20in%20%285%2C6%29.%20For%20the%20integration%20of%20stiff%20systems%20of%20ODEs.pdf |
| _version_ | 1848851761110974464 |
|---|---|
| author | Ismail, Fudziah Suleiman, Mohamed |
| author_facet | Ismail, Fudziah Suleiman, Mohamed |
| author_sort | Ismail, Fudziah |
| building | UPM Institutional Repository |
| collection | Online Access |
| description | In this paper, fourth order, five-stage embedded in fifth order six-stage Singly Diagonally Implicit Runge-Kutta (SDIRK) methods are derived, and their regions of stability are determined. Numerical results of these methods are presented and compared with the results obtained when the same systems are solved using Rabeh's third order three-stage embedded in fourth order four-stage SDIRK method. Also presented are the stability regions of the methods. |
| first_indexed | 2025-11-15T10:27:19Z |
| format | Article |
| id | upm-51176 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T10:27:19Z |
| publishDate | 1998 |
| publisher | Overseas Publishers Association |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-511762017-05-02T07:59:13Z http://psasir.upm.edu.my/id/eprint/51176/ Embedded singly diagonally implicit Runge-Kutta methods (4,5) in (5,6). For the integration of stiff systems of ODEs Ismail, Fudziah Suleiman, Mohamed In this paper, fourth order, five-stage embedded in fifth order six-stage Singly Diagonally Implicit Runge-Kutta (SDIRK) methods are derived, and their regions of stability are determined. Numerical results of these methods are presented and compared with the results obtained when the same systems are solved using Rabeh's third order three-stage embedded in fourth order four-stage SDIRK method. Also presented are the stability regions of the methods. Overseas Publishers Association 1998 Article PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/51176/1/Embedded%20singly%20diagonally%20implicit%20Runge-Kutta%20methods%20%284%2C5%29%20in%20%285%2C6%29.%20For%20the%20integration%20of%20stiff%20systems%20of%20ODEs.pdf Ismail, Fudziah and Suleiman, Mohamed (1998) Embedded singly diagonally implicit Runge-Kutta methods (4,5) in (5,6). For the integration of stiff systems of ODEs. International Journal of Computer Mathematics, 66 (3-4). pp. 325-341. ISSN 0020-7160 http://www.tandfonline.com/doi/abs/10.1080/00207169808804644 10.1080/00207169808804644 |
| spellingShingle | Ismail, Fudziah Suleiman, Mohamed Embedded singly diagonally implicit Runge-Kutta methods (4,5) in (5,6). For the integration of stiff systems of ODEs |
| title | Embedded singly diagonally implicit Runge-Kutta methods (4,5) in (5,6). For the integration of stiff systems of ODEs |
| title_full | Embedded singly diagonally implicit Runge-Kutta methods (4,5) in (5,6). For the integration of stiff systems of ODEs |
| title_fullStr | Embedded singly diagonally implicit Runge-Kutta methods (4,5) in (5,6). For the integration of stiff systems of ODEs |
| title_full_unstemmed | Embedded singly diagonally implicit Runge-Kutta methods (4,5) in (5,6). For the integration of stiff systems of ODEs |
| title_short | Embedded singly diagonally implicit Runge-Kutta methods (4,5) in (5,6). For the integration of stiff systems of ODEs |
| title_sort | embedded singly diagonally implicit runge-kutta methods (4,5) in (5,6). for the integration of stiff systems of odes |
| url | http://psasir.upm.edu.my/id/eprint/51176/ http://psasir.upm.edu.my/id/eprint/51176/ http://psasir.upm.edu.my/id/eprint/51176/ http://psasir.upm.edu.my/id/eprint/51176/1/Embedded%20singly%20diagonally%20implicit%20Runge-Kutta%20methods%20%284%2C5%29%20in%20%285%2C6%29.%20For%20the%20integration%20of%20stiff%20systems%20of%20ODEs.pdf |