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Determination of the coefficient in the stationary nonlinear equation of heat conduction

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Abstract

The article considers the problem of determining the solution-dependent coefficient of heat conductivity in a stationary nonlinear equation of heat conduction containing a parameter. Additional information for the determination of heat conductivity is provided by a function dependent on a parameter, which is obtained by solving a boundary-value problem. A uniqueness theorem is proved for the inverse problem.

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References

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    A. M. Denisov and S. I. Solov'eva, Mathematical Models and Optimization of Computer Algorithms [in Russian], Moscow State Univ. (1992).

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Additional information

Translated from Matematicheskoe Modelirovanie i Reshenie Obratnykh Zadach. Matematicheskoi Fiziki, pp. 13–17, 1993.

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Denisov, A.M., Solov'eva, S.I. Determination of the coefficient in the stationary nonlinear equation of heat conduction. Comput Math Model 6, 1–4 (1995). https://doi.org/10.1007/BF01128148

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Keywords

  • Mathematical Modeling
  • Heat Conduction
  • Inverse Problem
  • Computational Mathematic
  • Industrial Mathematic