Bezier curves based numerical solutions of delay systems with inverse time
This paper applied, for the first time, the Bernstein's approximation on delay differential equations and delay systems with inverse delay that models these problems. The direct algorithm is given for solving this problem. The delay function and inverse time function are expanded by the Bézier...
| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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Hindawi Publishing Corporation
2014
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| Online Access: | http://psasir.upm.edu.my/id/eprint/36628/ http://psasir.upm.edu.my/id/eprint/36628/1/Bezier%20curves%20based%20numerical%20solutions%20of%20delay%20systems%20with%20inverse%20time.pdf |
| _version_ | 1848848386085617664 |
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| author | Ghomanjani, Fateme. Farahi, Mohammad Hadi Kilicman, Adem Kamyad, Ali Vahidian Pariz, Naser |
| author_facet | Ghomanjani, Fateme. Farahi, Mohammad Hadi Kilicman, Adem Kamyad, Ali Vahidian Pariz, Naser |
| author_sort | Ghomanjani, Fateme. |
| building | UPM Institutional Repository |
| collection | Online Access |
| description | This paper applied, for the first time, the Bernstein's approximation on delay differential equations and delay systems with inverse delay that models these problems. The direct algorithm is given for solving this problem. The delay function and inverse time function are expanded by the Bézier curves. The Bézier curves are chosen as piecewise polynomials of degree n, and the Bézier curves are determined on any subinterval by n+1 control points. The approximated solution of delay systems containing inverse time is derived. To validate accuracy of the present algorithm, some examples are solved. |
| first_indexed | 2025-11-15T09:33:40Z |
| format | Article |
| id | upm-36628 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T09:33:40Z |
| publishDate | 2014 |
| publisher | Hindawi Publishing Corporation |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-366282015-10-09T07:23:17Z http://psasir.upm.edu.my/id/eprint/36628/ Bezier curves based numerical solutions of delay systems with inverse time Ghomanjani, Fateme. Farahi, Mohammad Hadi Kilicman, Adem Kamyad, Ali Vahidian Pariz, Naser This paper applied, for the first time, the Bernstein's approximation on delay differential equations and delay systems with inverse delay that models these problems. The direct algorithm is given for solving this problem. The delay function and inverse time function are expanded by the Bézier curves. The Bézier curves are chosen as piecewise polynomials of degree n, and the Bézier curves are determined on any subinterval by n+1 control points. The approximated solution of delay systems containing inverse time is derived. To validate accuracy of the present algorithm, some examples are solved. Hindawi Publishing Corporation 2014 Article PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/36628/1/Bezier%20curves%20based%20numerical%20solutions%20of%20delay%20systems%20with%20inverse%20time.pdf Ghomanjani, Fateme. and Farahi, Mohammad Hadi and Kilicman, Adem and Kamyad, Ali Vahidian and Pariz, Naser (2014) Bezier curves based numerical solutions of delay systems with inverse time. Mathematical Problems in Engineering, 2014. art. no. 602641. pp. 1-16. ISSN 1024-123X; ESSN: 1563-5147 http://www.hindawi.com/journals/mpe/2014/602641/ 10.1155/2014/602641 |
| spellingShingle | Ghomanjani, Fateme. Farahi, Mohammad Hadi Kilicman, Adem Kamyad, Ali Vahidian Pariz, Naser Bezier curves based numerical solutions of delay systems with inverse time |
| title | Bezier curves based numerical solutions of delay systems with inverse time |
| title_full | Bezier curves based numerical solutions of delay systems with inverse time |
| title_fullStr | Bezier curves based numerical solutions of delay systems with inverse time |
| title_full_unstemmed | Bezier curves based numerical solutions of delay systems with inverse time |
| title_short | Bezier curves based numerical solutions of delay systems with inverse time |
| title_sort | bezier curves based numerical solutions of delay systems with inverse time |
| url | http://psasir.upm.edu.my/id/eprint/36628/ http://psasir.upm.edu.my/id/eprint/36628/ http://psasir.upm.edu.my/id/eprint/36628/ http://psasir.upm.edu.my/id/eprint/36628/1/Bezier%20curves%20based%20numerical%20solutions%20of%20delay%20systems%20with%20inverse%20time.pdf |