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Recovering the aqueous concentration in a multi-layer porous media

Computers & Mathematics with Applications, ISSN: 0898-1221, Vol: 100, Page: 83-98
2021
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Article Description

In this paper, we consider an inverse problem for time-fractional advection-dispersion equation in a multi-layer composite medium. The main goal of our paper is to approximate the initial information, which is inaccessible for measurement, from the observation data at a certain point in second layer by constructing a regularized solution using a filter regularization method. Under appropriate regularity assumptions of the exact solution, we give convergence rate of the error between the reconstructed solution and the exact one. A numerical example is provided to illustrate the main results.

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