ITHEA International Scientific Society : OPTIMAL CONTROL OF A SECOND ORDER PARABOLIC HEAT EQUATION

ITHEA Classification Structure > F. Theory of Computation > F.2 ANALYSIS OF ALGORITHMS AND PROBLEM COMPLEXITY > F.2.1 Numerical Algorithms and Problems

OPTIMAL CONTROL OF A SECOND ORDER PARABOLIC HEAT EQUATION
By: Mahmoud Farag, Mainouna Al-Manthari (3522 reads)

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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.

Keywords: Distributed control problems, Second order parabolic heat equation, Runge-Kutta? method, CGM.

ACM Classification Keywords: F.2.1 Numerical Algorithms and Problems; G.4 Mathematical Software

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OPTIMAL CONTROL OF A SECOND ORDER PARABOLIC HEAT EQUATION

Mahmoud Farag, Mainouna Al-Manthari?

http://www.foibg.com/ijita/vol13/ijita13-3-p03.pdf