Numerical study of inverse problem of identification of source density for the two-dimensional non-stationary convection-diffusion equation

In this paper the inverse problem of reconstructing of temporary component of the right-hand side for the two-dimensional non-stationary convection-diffusion equation is considered. For the solution of this problem the numerical algorithm is developed which is based on the reduction of the initial problem to the auxiliary problem for the loaded parabolic equation. Computational aspects of the solution of these problems are discussed.