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On the Solution of Inverse Problems for Generalized Oxygen Consumption

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Abstract

We present the solution of some inverse problems for one-dimensional free boundary problems of oxygen consumption type, with a semilinear convection-diffusion-reaction parabolic equation. Using a fixed domain transformation (Landau's transformation) the direct problem is reduced to a system of ODEs. To minimize the objective functionals in the inverse problems, we approximate the data by a finite number of parameters with respect to which automatic differentiation is applied.

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Authors and Affiliations

  1. Dept. Pure Math. and Comp. Alg., Gent Univ., Galglaan 2, 9000, Gent, Belgium

    D. Constales

  2. Dept. Num. Math. and Opt., Comenius Univ., 842 15, Bratislava, Slovakia

    J. Kacur

Authors
  1. D. Constales
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  2. J. Kacur
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Constales, D., Kacur, J. On the Solution of Inverse Problems for Generalized Oxygen Consumption. Applications of Mathematics 46, 0 (2001). https://doi.org/10.1023/A:1013735806210

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  • DOI: https://doi.org/10.1023/A:1013735806210

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