Solving delay differential equations using embedded singly diagonally implicit Runge-Kutta methods
In this paper we used three embedded diagonally implicit Runge-Kutta methods to solve a standard set of delay differential equations. Some of the methods share the FSAL (first stage as last) property and the same stage order. The Q-stability polynomials of the methods are obtained and their stabili...
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| Format: | Article |
| Language: | English English |
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Vietnamese Academy of Science and Technology
2008
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| Online Access: | http://psasir.upm.edu.my/id/eprint/16773/ http://psasir.upm.edu.my/id/eprint/16773/1/Solving%20delay%20differential%20equations%20using%20embedded%20singly%20diagonally%20implicit%20Runge.pdf |
| _version_ | 1848843055349628928 |
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| author | Ismail, Fudziah Al-Khassawneh, Raed Ali |
| author_facet | Ismail, Fudziah Al-Khassawneh, Raed Ali |
| author_sort | Ismail, Fudziah |
| building | UPM Institutional Repository |
| collection | Online Access |
| description | In this paper we used three embedded diagonally implicit Runge-Kutta methods to solve a standard set of delay differential equations. Some of the methods share the FSAL (first stage as last) property and the same stage
order. The Q-stability polynomials of the methods are obtained and their stability regions presented. Numerical results are tabulated and compared,from which we can conclude that the method with the highest order and the
higher stage order is the most efficient. |
| first_indexed | 2025-11-15T08:08:56Z |
| format | Article |
| id | upm-16773 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| language | English English |
| last_indexed | 2025-11-15T08:08:56Z |
| publishDate | 2008 |
| publisher | Vietnamese Academy of Science and Technology |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-167732015-10-01T03:29:42Z http://psasir.upm.edu.my/id/eprint/16773/ Solving delay differential equations using embedded singly diagonally implicit Runge-Kutta methods Ismail, Fudziah Al-Khassawneh, Raed Ali In this paper we used three embedded diagonally implicit Runge-Kutta methods to solve a standard set of delay differential equations. Some of the methods share the FSAL (first stage as last) property and the same stage order. The Q-stability polynomials of the methods are obtained and their stability regions presented. Numerical results are tabulated and compared,from which we can conclude that the method with the highest order and the higher stage order is the most efficient. Vietnamese Academy of Science and Technology 2008 Article PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/16773/1/Solving%20delay%20differential%20equations%20using%20embedded%20singly%20diagonally%20implicit%20Runge.pdf Ismail, Fudziah and Al-Khassawneh, Raed Ali (2008) Solving delay differential equations using embedded singly diagonally implicit Runge-Kutta methods. Acta Mathematica Vietnamica, 33 (2). pp. 95-105. ISSN 0251-4184 Runge-Kutta formulas Differential equations English |
| spellingShingle | Runge-Kutta formulas Differential equations Ismail, Fudziah Al-Khassawneh, Raed Ali Solving delay differential equations using embedded singly diagonally implicit Runge-Kutta methods |
| title | Solving delay differential equations using embedded singly diagonally implicit Runge-Kutta methods |
| title_full | Solving delay differential equations using embedded singly diagonally implicit Runge-Kutta methods |
| title_fullStr | Solving delay differential equations using embedded singly diagonally implicit Runge-Kutta methods |
| title_full_unstemmed | Solving delay differential equations using embedded singly diagonally implicit Runge-Kutta methods |
| title_short | Solving delay differential equations using embedded singly diagonally implicit Runge-Kutta methods |
| title_sort | solving delay differential equations using embedded singly diagonally implicit runge-kutta methods |
| topic | Runge-Kutta formulas Differential equations |
| url | http://psasir.upm.edu.my/id/eprint/16773/ http://psasir.upm.edu.my/id/eprint/16773/1/Solving%20delay%20differential%20equations%20using%20embedded%20singly%20diagonally%20implicit%20Runge.pdf |