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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S. G. Barol'skii, N. V. Ermokhin, P. P. Kulik, and V. A. Ryabyi, Teplofiz. Vys. Temp.,14, No. 4, 702 (1976).
P. V. Ermokhin, B. M. Kovalev, P. P. Kulik, and V. A. Ryabyi, Teplofiz. Vys. Temp.,15, No. 4, 695 (1977).
A. M. Denisov, Dokl. Akad. Nauk SSSR,307, No. 5, 1040–1042 (1989).
A. M. Denisov and S. I. Solov'eva, Mathematical Models and Optimization of Computer Algorithms [in Russian], Moscow State Univ. (1992).
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
- Mathematical Modeling
- Heat Conduction
- Inverse Problem
- Computational Mathematic
- Industrial Mathematic