Recovery of the time-dependent diffusion coefficient by known non-local data

S. I. Kabanikhin ; M. A. Shishlenin

Sibirskij žurnal vyčislitelʹnoj matematiki, Tome 21 (2018) no. 1, pp. 55-63.

Résumé

The inverse problem of recovering the leading time-dependent coefficient by the known non-local additional information is investigated. For an approximate solution of the nonlinear inverse problems we propose the gradient method of minimizing the target functional. The comparative analysis with the method based on the linearized approximation scheme with respect to time is made. The results of the numerical calculations are presented.

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