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Title: Optimal Control of a Second Order Parabolic Heat Equation
Authors: Farag, Mahmoud
Al-Manthari, Mainouna
Keywords: Distributed Control Problems
Second Order Parabolic Heat Equation
Runge-Kutta Method
Issue Date: 2006
Publisher: Institute of Information Theories and Applications FOI ITHEA
Abstract: In this paper, we are concerned with the optimal control boundary control of a second order parabolic heat equation. Using the results in [Evtushenko, 1997] and spatial central finite difference with diagonally implicit Runge-Kutta method (DIRK) is applied to solve the parabolic heat equation. The conjugate gradient method (CGM) is applied to solve the distributed control problem. Numerical results are reported.
ISSN: 1313-0463
Appears in Collections:Volume 13 Number 3

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