Citation
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
Abstract
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.
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Official URL or Download Paper: http://www.hindawi.com/journals/mpe/2014/602641/
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Additional Metadata
| Item Type: | Article |
|---|---|
| Divisions: | Faculty of Science |
| DOI Number: | https://doi.org/10.1155/2014/602641 |
| Publisher: | Hindawi Publishing Corporation |
| Keywords: | Delay differential equations; Bézier curves; Delay systems |
| Depositing User: | Nabilah Mustapa |
| Date Deposited: | 31 May 2015 04:09 |
| Last Modified: | 09 Oct 2015 07:23 |
| Altmetrics: | http://www.altmetric.com/details.php?domain=psasir.upm.edu.my&doi=10.1155/2014/602641 |
| URI: | http://psasir.upm.edu.my/id/eprint/36628 |
| Statistic Details: | View Download Statistic |
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