Different types of interpolations for solving delay differential equations using explicit Runge-Kutta method / Fudziah Ismail, Aung San Lwin and Mohamed Suleiman
Delay differential equations (DDEs) with single and multiple delays are solved using embedded explicit Runge-Kutta method. The delay terms are approximated by using divided difference interpolation, Hermite interpolation and continuous extensions formula of the Runge-Kutta method itself. Numerica...
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| Format: | Article |
| Language: | English |
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Fakulti Teknologi Maklumat dan Sains Kuantitatif
2005
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| Subjects: | |
| Online Access: | https://ir.uitm.edu.my/id/eprint/11647/1/AJ_FUDZIAH%20ISMAIL%20JTMSK%2005%201.pdf |
| _version_ | 1825733952817594368 |
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| author | Ismail, Fudziah Lwin, Aung San Suleiman, Mohamed |
| author_facet | Ismail, Fudziah Lwin, Aung San Suleiman, Mohamed |
| author_sort | Ismail, Fudziah |
| collection | UITM |
| description | Delay differential equations (DDEs) with single and multiple delays are solved using embedded
explicit Runge-Kutta method. The delay terms are approximated by using divided
difference interpolation, Hermite interpolation and continuous extensions formula of the
Runge-Kutta method itself. Numerical results based on the different types of interpolation are
tabulated and compared. |
| first_indexed | 2024-03-06T01:24:36Z |
| format | Article |
| id | oai:ir.uitm.edu.my:11647 |
| institution | Universiti Teknologi MARA |
| language | English |
| last_indexed | 2024-03-06T01:24:36Z |
| publishDate | 2005 |
| publisher | Fakulti Teknologi Maklumat dan Sains Kuantitatif |
| record_format | dspace |
| spelling | oai:ir.uitm.edu.my:116472016-09-26T08:16:06Z https://ir.uitm.edu.my/id/eprint/11647/ Different types of interpolations for solving delay differential equations using explicit Runge-Kutta method / Fudziah Ismail, Aung San Lwin and Mohamed Suleiman Ismail, Fudziah Lwin, Aung San Suleiman, Mohamed Differential equations. Runge-Kutta formulas Difference equations. Functional equations. Delay differential equations. Integral equations Delay differential equations (DDEs) with single and multiple delays are solved using embedded explicit Runge-Kutta method. The delay terms are approximated by using divided difference interpolation, Hermite interpolation and continuous extensions formula of the Runge-Kutta method itself. Numerical results based on the different types of interpolation are tabulated and compared. Fakulti Teknologi Maklumat dan Sains Kuantitatif 2005 Article PeerReviewed text en https://ir.uitm.edu.my/id/eprint/11647/1/AJ_FUDZIAH%20ISMAIL%20JTMSK%2005%201.pdf Different types of interpolations for solving delay differential equations using explicit Runge-Kutta method / Fudziah Ismail, Aung San Lwin and Mohamed Suleiman. (2005) Jurnal Teknologi Maklumat dan Sains Kuantitatif <https://ir.uitm.edu.my/view/publication/Jurnal_Teknologi_Maklumat_dan_Sains_Kuantitatif/>, 7 (1). pp. 19-28. ISSN 1823-0822 |
| spellingShingle | Differential equations. Runge-Kutta formulas Difference equations. Functional equations. Delay differential equations. Integral equations Ismail, Fudziah Lwin, Aung San Suleiman, Mohamed Different types of interpolations for solving delay differential equations using explicit Runge-Kutta method / Fudziah Ismail, Aung San Lwin and Mohamed Suleiman |
| title | Different types of interpolations for solving delay differential equations using explicit Runge-Kutta method / Fudziah Ismail, Aung San Lwin and Mohamed Suleiman |
| title_full | Different types of interpolations for solving delay differential equations using explicit Runge-Kutta method / Fudziah Ismail, Aung San Lwin and Mohamed Suleiman |
| title_fullStr | Different types of interpolations for solving delay differential equations using explicit Runge-Kutta method / Fudziah Ismail, Aung San Lwin and Mohamed Suleiman |
| title_full_unstemmed | Different types of interpolations for solving delay differential equations using explicit Runge-Kutta method / Fudziah Ismail, Aung San Lwin and Mohamed Suleiman |
| title_short | Different types of interpolations for solving delay differential equations using explicit Runge-Kutta method / Fudziah Ismail, Aung San Lwin and Mohamed Suleiman |
| title_sort | different types of interpolations for solving delay differential equations using explicit runge kutta method fudziah ismail aung san lwin and mohamed suleiman |
| topic | Differential equations. Runge-Kutta formulas Difference equations. Functional equations. Delay differential equations. Integral equations |
| url | https://ir.uitm.edu.my/id/eprint/11647/1/AJ_FUDZIAH%20ISMAIL%20JTMSK%2005%201.pdf |
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