Stochastic regularization of ill-posed problems of heat transfer

1Panin, VV
1Krivoshey, FA
2Bogdan, Yu.A
1State University of Infrastructure and Technologies, Kyiv
2Hetman Petro Konashevich-Sahaydachniy Kyiv State Maritime Academy
Dopov. Nac. akad. nauk Ukr. 2014, 6:80-84
Section: Heat Physics
Language: Russian

The stochastic approximation of the parabolic equation of heat conduction and its subsequent averaging over realizations of random parameters leads to an equation of the hyperbolic type for the average values of transfer functions. On a basis of this equation, the statements of inverse problems concerning the restoration of boundary conditions are well-posed.

Keywords: heat transfer, stochastic regularization

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