Comparison of interpolations used in solving delay differential equations by runge-kutta method
Delay differential equations are solved using embedded Singly Diagonally Implicit Runge-Kutta (SDIRK) method (3,4) in (4,5). The approximation of the delay term is obtained by Newton divided difference interpolation and interpolation developed by In't Hout. Numerical results based on these two...
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| Format: | Article |
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2003
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| Online Access: | http://psasir.upm.edu.my/id/eprint/115280/ |
| _version_ | 1848866734685028352 |
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| author | Ismail, Fudziah Al-Khasawneh, Raed Ali Suleiman, Mohamed |
| author_facet | Ismail, Fudziah Al-Khasawneh, Raed Ali Suleiman, Mohamed |
| author_sort | Ismail, Fudziah |
| building | UPM Institutional Repository |
| collection | Online Access |
| description | Delay differential equations are solved using embedded Singly Diagonally Implicit Runge-Kutta (SDIRK) method (3,4) in (4,5). The approximation of the delay term is obtained by Newton divided difference interpolation and interpolation developed by In't Hout. Numerical results based on these two types of interpolation are compared. The stability polynomial and the stability regions of SDIRK method (2,2) using In't Hout interpolation for the delay term are presented. |
| first_indexed | 2025-11-15T14:25:19Z |
| format | Article |
| id | upm-115280 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| last_indexed | 2025-11-15T14:25:19Z |
| publishDate | 2003 |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-1152802025-02-27T07:20:43Z http://psasir.upm.edu.my/id/eprint/115280/ Comparison of interpolations used in solving delay differential equations by runge-kutta method Ismail, Fudziah Al-Khasawneh, Raed Ali Suleiman, Mohamed Delay differential equations are solved using embedded Singly Diagonally Implicit Runge-Kutta (SDIRK) method (3,4) in (4,5). The approximation of the delay term is obtained by Newton divided difference interpolation and interpolation developed by In't Hout. Numerical results based on these two types of interpolation are compared. The stability polynomial and the stability regions of SDIRK method (2,2) using In't Hout interpolation for the delay term are presented. 2003 Article PeerReviewed Ismail, Fudziah and Al-Khasawneh, Raed Ali and Suleiman, Mohamed (2003) Comparison of interpolations used in solving delay differential equations by runge-kutta method. International Journal of Computer Mathematics, 80 (7). pp. 921-930. ISSN 1029-0265; eISSN: 0020-7160 https://www.tandfonline.com/doi/abs/10.1080/0020716031000079527 10.1080/0020716031000079527 |
| spellingShingle | Ismail, Fudziah Al-Khasawneh, Raed Ali Suleiman, Mohamed Comparison of interpolations used in solving delay differential equations by runge-kutta method |
| title | Comparison of interpolations used in solving delay differential equations by runge-kutta method |
| title_full | Comparison of interpolations used in solving delay differential equations by runge-kutta method |
| title_fullStr | Comparison of interpolations used in solving delay differential equations by runge-kutta method |
| title_full_unstemmed | Comparison of interpolations used in solving delay differential equations by runge-kutta method |
| title_short | Comparison of interpolations used in solving delay differential equations by runge-kutta method |
| title_sort | comparison of interpolations used in solving delay differential equations by runge-kutta method |
| url | http://psasir.upm.edu.my/id/eprint/115280/ http://psasir.upm.edu.my/id/eprint/115280/ http://psasir.upm.edu.my/id/eprint/115280/ |