517.956.4 On the numerical solution of the inverse problem of heat conduction with radiation

Gribov A. F. (Bauman Moscow State Technical University), Zhidkov E. N. (Bauman Moscow State Technical University), Krasnov I. K. (Bauman Moscow State Technical University)

INVERSE PROBLEM, PARABOLIC EQUATION, APPROXIMATION, TIKHONOV FUNCTIONAL, RANDOM SEARCH


doi: 10.18698/2309-3684-2019-1-4353


The inverse problem of restoring the thermal conductivity coefficient of a nonlinear parabolic equation by the final temperature distribution, which serves as a mathematical model for the problem of determining structural defects, is investigated. An algorithm for numerical solution of the problem is proposed. A numerical example is considered.


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