Solving delay differential equations using Componentwise Partitioning by Runge–Kutta Method
Embedded singly diagonally implicit Runge-Kutta (SDIRK) method is used to solve stiff systems of delay differential equations (DDEs). The delay argument is approximated using Hermite interpolation. Initially the whole system is considered as nonstiff and solved using simple iteration. When stiffness...
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| Format: | Article |
| Language: | English |
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2001
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| Online Access: | http://psasir.upm.edu.my/id/eprint/114090/ http://psasir.upm.edu.my/id/eprint/114090/1/114090.pdf |
| _version_ | 1848866401722302464 |
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| author | Suleiman, Mohamed Ismail, Fudziah |
| author_facet | Suleiman, Mohamed Ismail, Fudziah |
| author_sort | Suleiman, Mohamed |
| building | UPM Institutional Repository |
| collection | Online Access |
| description | Embedded singly diagonally implicit Runge-Kutta (SDIRK) method is used to solve stiff systems of delay differential equations (DDEs). The delay argument is approximated using Hermite interpolation. Initially the whole system is considered as nonstiff and solved using simple iteration. When stiffness is indicated, the appropriate equation is placed into the stiff subsystem and solved using Newton iteration. This type of partitioning is called componentwise partitioning. The process is continued until all the equations have been placed in the right subsystem. Numerical results based on componentwise partitioning and intervalwise partitioning are tabulated and compared. © 2001 Elsevier Science Inc. |
| first_indexed | 2025-11-15T14:20:01Z |
| format | Article |
| id | upm-114090 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T14:20:01Z |
| publishDate | 2001 |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-1140902024-12-10T01:42:47Z http://psasir.upm.edu.my/id/eprint/114090/ Solving delay differential equations using Componentwise Partitioning by Runge–Kutta Method Suleiman, Mohamed Ismail, Fudziah Embedded singly diagonally implicit Runge-Kutta (SDIRK) method is used to solve stiff systems of delay differential equations (DDEs). The delay argument is approximated using Hermite interpolation. Initially the whole system is considered as nonstiff and solved using simple iteration. When stiffness is indicated, the appropriate equation is placed into the stiff subsystem and solved using Newton iteration. This type of partitioning is called componentwise partitioning. The process is continued until all the equations have been placed in the right subsystem. Numerical results based on componentwise partitioning and intervalwise partitioning are tabulated and compared. © 2001 Elsevier Science Inc. 2001 Article PeerReviewed text en http://psasir.upm.edu.my/id/eprint/114090/1/114090.pdf Suleiman, Mohamed and Ismail, Fudziah (2001) Solving delay differential equations using Componentwise Partitioning by Runge–Kutta Method. Applied Mathematics and Computation, 122 (3). pp. 301-323. ISSN 0096-3003; eISSN: 0096-3003 https://linkinghub.elsevier.com/retrieve/pii/S0096300300000394 10.1016/s0096-3003(00)00039-4 |
| spellingShingle | Suleiman, Mohamed Ismail, Fudziah Solving delay differential equations using Componentwise Partitioning by Runge–Kutta Method |
| title | Solving delay differential equations using Componentwise Partitioning by Runge–Kutta Method |
| title_full | Solving delay differential equations using Componentwise Partitioning by Runge–Kutta Method |
| title_fullStr | Solving delay differential equations using Componentwise Partitioning by Runge–Kutta Method |
| title_full_unstemmed | Solving delay differential equations using Componentwise Partitioning by Runge–Kutta Method |
| title_short | Solving delay differential equations using Componentwise Partitioning by Runge–Kutta Method |
| title_sort | solving delay differential equations using componentwise partitioning by runge–kutta method |
| url | http://psasir.upm.edu.my/id/eprint/114090/ http://psasir.upm.edu.my/id/eprint/114090/ http://psasir.upm.edu.my/id/eprint/114090/ http://psasir.upm.edu.my/id/eprint/114090/1/114090.pdf |