In this paper, the inverse problem of finding a coefficient in a second order elliptic equation is investigated. The conditions for the existence and uniqueness of the classical solution of the problem under consideration are established. Numerical tests using the finite-difference scheme combined with an iteration method is presented and the sensitivity of this scheme with respect to noisy overdetermination data is illustrated.
Mehraliyev, Y. T., & Kanca, F. (2014). An Inverse Boundary Value Problem for a Second Order Elliptic Equation in a Rectangle. Mathematical Modelling and Analysis, 19(2), 241-256. https://doi.org/10.3846/13926292.2014.910278
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