Numerical solution to inverse problems for linear parabolic equation

A. B. Ragimov

Vestnik Tverskogo gosudarstvennogo universiteta. Seriâ Prikladnaâ matematika, no. 1 (2018), pp. 69-87

Résumé

In the paper, the inverse problems for a parabolic equation with unknown coefficients on the right-hand side are considered. Boundary value problems with nonlocal conditions are reduced to such problems. We investigate separately two cases: unknown coefficients depend on either time variable only or phase coordinates only. A numerical method to solve the problems by using the method of lines is suggested. The results of numerical experiments on test problems are given.

Détail

Keywords: inverse problem, method of lines, parametric identification.
Mots-clés : nonlocal conditions, parabolic equation

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