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Determination of the unknown sources in the heat-conduction equation

  • Numerical Methods in Inverse Problems
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Abstract

The article considers the determination of the source F(x,t) in the heat-conduction equation using additional information about the solution. The source F(x,t) is represented in the special form F(x,t)=f1(x)exp(-λ1t)+f2(x)exp(-λ2t) where λ1,2 are known positive constants. The additional information about the solution of the inverse problem is provided by the solution of the heat-conduction equation at a number of fixed points in space. Uniqueness of the solution of this inverse problem is investigated.

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Authors
  1. A. A. Burykin
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  2. A. M. Denisov
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Additional information

Translated from Obratnye Zadachi Estestvoznaniya, Published by Moscow University, Moscow, 1997, pp. 18–22.

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Burykin, A.A., Denisov, A.M. Determination of the unknown sources in the heat-conduction equation. Comput Math Model 8, 309–313 (1997). https://doi.org/10.1007/BF02404048

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  • DOI: https://doi.org/10.1007/BF02404048

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