Journal of applied mathematics & informatics

The Korean Society for Computational and Applied Mathematics (한국전산응용수학회)
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OPTIMAL CONTROL OF THE HEAT EQUATION IN AN INHOMOGENEOUS BODY

  • Borzabadi, A.H. (Department of Mathematics, Damghan University of Basic Sciences) ;
  • Kamyad, A.V. (Department of Mathematics, Ferdowsi University of Mashha) ;
  • farahi, M.H. (Department of Mathematics, Ferdowsi University of Mashhad)
  • Published : 2004.05.01

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Abstract

In this paper we consider a heat flow in an inhomogeneous. body without internal source. There exists special initial and boundary conditions in this system and we intend to find a convenient coefficient of heat conduction for this body so that body cool off as much as possible after definite time. We consider this problem in a general form as an optimal control problem which coefficient of heat conduction is optimal function. Then we replace this problem by another in which we seek to minimize a linear form over a subset of the product of two measures space defined by linear equalities. Then we construct an approximately optimal control.

Keywords

References

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