Abstract

Consider the concentration convection-diffusion process of air-pollution with time-dependent vertical diffusion coefficient modeled by a degenerate parabolic equation. We aim to identify the diffusion coefficient from extra point or integral measurements. For the appropriate solution of the nonlinear inverse problem of determination unknown diffusion coefficient, we develop linearized approximations in time. The numerical algorithm is based on a special decomposition of the approximate solution for which the transition to the new time layer is carried out by solving of two degenerate elliptic problems. Numerical experiments illustrate the efficiency of the algorithm.

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