Solving delay differential equations using intervalwise partitioning by Runge–Kutta method
Embedded singly diagonally implicit Runge-Kutta method is used to solve stiff systems of delay differential equations. The delay argument is approximated using Newton divided difference interpolation. Initially the whole system is considered as nonstiff and solved using simple iteration, in the even...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Elsevier
2001
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| Online Access: | http://psasir.upm.edu.my/id/eprint/114129/ http://psasir.upm.edu.my/id/eprint/114129/1/114129.pdf |
| _version_ | 1848866413085720576 |
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| author | Ismail, Fudziah Suleiman, Mohammed |
| author_facet | Ismail, Fudziah Suleiman, Mohammed |
| author_sort | Ismail, Fudziah |
| building | UPM Institutional Repository |
| collection | Online Access |
| description | Embedded singly diagonally implicit Runge-Kutta method is used to solve stiff systems of delay differential equations. The delay argument is approximated using Newton divided difference interpolation. Initially the whole system is considered as nonstiff and solved using simple iteration, in the event that stiffness is indicated, the whole system is considered as stiff and solved using Newton iteration. Numerical results based on one technique to detect stiffness is tabulated and compared with the numerical results when the system is considered as stiff from the beginning. © 2001 Elsevier Science Inc. |
| first_indexed | 2025-11-15T14:20:12Z |
| format | Article |
| id | upm-114129 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T14:20:12Z |
| publishDate | 2001 |
| publisher | Elsevier |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-1141292024-12-10T01:49:35Z http://psasir.upm.edu.my/id/eprint/114129/ Solving delay differential equations using intervalwise partitioning by Runge–Kutta method Ismail, Fudziah Suleiman, Mohammed Embedded singly diagonally implicit Runge-Kutta method is used to solve stiff systems of delay differential equations. The delay argument is approximated using Newton divided difference interpolation. Initially the whole system is considered as nonstiff and solved using simple iteration, in the event that stiffness is indicated, the whole system is considered as stiff and solved using Newton iteration. Numerical results based on one technique to detect stiffness is tabulated and compared with the numerical results when the system is considered as stiff from the beginning. © 2001 Elsevier Science Inc. Elsevier 2001 Article PeerReviewed text en http://psasir.upm.edu.my/id/eprint/114129/1/114129.pdf Ismail, Fudziah and Suleiman, Mohammed (2001) Solving delay differential equations using intervalwise partitioning by Runge–Kutta method. Applied Mathematics and Computation, 121 (1). pp. 37-53. ISSN 0096-3003; eISSN: 0096-3003 https://linkinghub.elsevier.com/retrieve/pii/S0096300399002611 10.1016/s0096-3003(99)00261-1 |
| spellingShingle | Ismail, Fudziah Suleiman, Mohammed Solving delay differential equations using intervalwise partitioning by Runge–Kutta method |
| title | Solving delay differential equations using intervalwise partitioning by Runge–Kutta method |
| title_full | Solving delay differential equations using intervalwise partitioning by Runge–Kutta method |
| title_fullStr | Solving delay differential equations using intervalwise partitioning by Runge–Kutta method |
| title_full_unstemmed | Solving delay differential equations using intervalwise partitioning by Runge–Kutta method |
| title_short | Solving delay differential equations using intervalwise partitioning by Runge–Kutta method |
| title_sort | solving delay differential equations using intervalwise partitioning by runge–kutta method |
| url | http://psasir.upm.edu.my/id/eprint/114129/ http://psasir.upm.edu.my/id/eprint/114129/ http://psasir.upm.edu.my/id/eprint/114129/ http://psasir.upm.edu.my/id/eprint/114129/1/114129.pdf |