Recovering a Time-Dependent Diffusion Coefficient from Nonlocal Data
Sergey KabanikhinInstitute of Computational Mathematics and Mathematical Geophysics, Siberian Branch, Russian Academy of Sciences, pr. Akad. Lavrent’eva 6, Novosibirsk, 630090, RussiaMaxim ShishleninInstitute of Computational Mathematics and Mathematical Geophysics, Siberian Branch, Russian Academy of Sciences, pr. Akad. Lavrent’eva 6, Novosibirsk, 630090, Russia
2018en
ABI
Abstract
In this paper, an inverse problem of recovering a leading time-dependent coefficient from nonlocal additional information is investigated. To approximately solve the nonlinear inverse problems, we propose a gradient method of minimizing an objective functional. A comparative analysis with a method based on a linearized approximation scheme with respect to time is performed. The results of numerical calculations are presented.
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Cited by 60 references