NUMERICAL METHOD FOR SOLVING THE INVERSE HEAT CONDUCTION PROBLEM UNDER UNCERTAINTY
The paper is devoted to numerical solving inverse heat conduction problem with incomplete initial data. The mathematical representation of problem includes a one-dimensional parabolic PDE, the initial condition and single boundary condition. We propose the approach based on the regularization technique and allow to obtain the numerical solution under uncertainty. This approach was implemented in numerical scheme and tested due computational experiments. The obtained results show the sufficient accuracy of the proposed scheme.
Библиографическая ссылка
YAPAROVA N., Solodusha S.V. NUMERICAL METHOD FOR SOLVING THE INVERSE HEAT CONDUCTION PROBLEM UNDER UNCERTAINTY // PROCEEDINGS OF THE 9TH INTERNATIONAL SCHOOL-SEMINAR ON NONLINEAR ANALYSIS AND EXTREMAL PROBLEMS (NLA-2026). ID:92163809. 2026. P.290-292.
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