On the Solution of a Optimal Control Problem for a Hyperbolic System
Applied and Computational Mathematics
Volume 7, Issue 3, June 2018, Pages: 75-82
Received: Apr. 24, 2018; Accepted: May 10, 2018; Published: May 25, 2018
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Fatma Toyoğlu, Department of Mathematics, Faculty of Art and Science, Erzincan University, Erzincan, Turkey
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In this study, the problem of determining the control function that is at the right hand side of a hyperbolic system from the final observation is investigated. Using the Fourier-Galerkin method, the weak solution of this hyperbolic system is obtained. The necessary conditions for the existence and uniqueness of the optimal solution are proved. We also find the approximate solutions of the test problems in numerical examples by a MAPLE® program. Finally, the numerical results are presented in the form of tables.
Optimal Control, Partial Differential Equation, Numerical Approximation
To cite this article
Fatma Toyoğlu, On the Solution of a Optimal Control Problem for a Hyperbolic System, Applied and Computational Mathematics. Vol. 7, No. 3, 2018, pp. 75-82. doi: 10.11648/j.acm.20180703.11
Copyright © 2018 Authors retain the copyright of this article.
This article is an open access article distributed under the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0/) which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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