We present the solvability of a two space dimensional coefficient inverse problem for a transport-like equation and investigate the approximate solution of this problem with the use of centered difference formulas and a symbolic approximation method. Since this inverse problem is overdetermined, which is the main difficulty in studying of its solvability, it is replaced by a related determined one by using some extension of the class of unknown functions.
Amirov, A., Ustaoglu, Z. (2009). On the Approximation Methods for the Solution of a Coefficient Inverse Problem for a Transport-like Equation. CMES-Computer Modeling in Engineering & Sciences, 54(3), 283–300.
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