Please use this identifier to cite or link to this item: http://hdl.handle.net/10525/748

 Title: Optimal Control of a Second Order Parabolic Heat Equation Authors: Farag, MahmoudAl-Manthari, Mainouna Keywords: Distributed Control ProblemsSecond Order Parabolic Heat EquationRunge-Kutta MethodCGM 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. URI: http://hdl.handle.net/10525/748 ISSN: 1313-0463 Appears in Collections: Volume 13 Number 3

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