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Optimal Control of a Parabolic Distribut...

Elgindy, Kareem T....

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Optimal Control of a Parabolic Distributed Parameter System Using a Barycentric Shifted Gegenbauer Pseudospectral Method by Elgindy, Kareem T. ( Author )

Content Provider	Lemonjar Open Access
Publisher	N.A
Publication Date	04-03-2016
Summary	In this paper, we introduce a novel pseudospectral method for the numerical solution of optimal control problems governed by a parabolic distributed parameter system. The infinite-dimensional optimal control problem is reduced into a finite-dimensional nonlinear programming problem through shifted Gegenbauer quadratures constructed using a stable barycentric representation of Lagrange interpolating polynomials and explicit barycentric weights for the shifted Gegenbauer-Gauss (SGG) points. A rigorous error analysis of the method is presented, and a numerical test example is given to show the accuracy and efficiency of the proposed pseudospectral method.
ISBN	-
Item Type	Article
File Type	pdf
File Size	36.88 KB
Language	English
Subjects	-
Unlimited	MYR 0.01
Total read	-
URL	https://arxiv.org/abs/1603.01517

Citation

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AMA 11th EditionReferences

Elgindy, Kareem T.. Optimal Control of a Parabolic Distributed Parameter System Using a Barycentric Shifted Gegenbauer Pseudospectral Method. N.A. March 04, 2016. Accessed September 20, 2024. https://online.provdatabase.com/cite/22784

APA 7th EditionReferences

Elgindy, Kareem T.. (2016). Optimal Control of a Parabolic Distributed Parameter System Using a Barycentric Shifted Gegenbauer Pseudospectral Method. N.A. https://online.provdatabase.com/cite/22784

Chicago 17th EditionReferences

Elgindy, Kareem T.. Optimal Control of a Parabolic Distributed Parameter System Using a Barycentric Shifted Gegenbauer Pseudospectral Method. N.A. 2016. https://online.provdatabase.com/cite/22784

HarvardReferences

Elgindy, Kareem T.. (2016). Optimal Control of a Parabolic Distributed Parameter System Using a Barycentric Shifted Gegenbauer Pseudospectral Method. [Online]. N.A. Available from: https://online.provdatabase.com/cite/22784. (Accessed 20 September 2024).

Harvard AustraliaReferences

Elgindy, Kareem T., 2016, Optimal Control of a Parabolic Distributed Parameter System Using a Barycentric Shifted Gegenbauer Pseudospectral Method, N.A, viewed 20 September 2024, <https://online.provdatabase.com/cite/22784>

MLA 9th EditionWorks Cited

Elgindy, Kareem T.. Optimal Control of a Parabolic Distributed Parameter System Using a Barycentric Shifted Gegenbauer Pseudospectral Method. N.A, 2016. PROV Database, https://online.provdatabase.com/cite/22784.

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