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A method for estimation of parameters for a parabolic boundary value problem with a Neumann boundary condition is proposed in the paper. This method utilizes probabilistic representations of the solution to the boundary value problem considered and also of its parametric derivatives in the form of functionals of the solution to a system of stochastic differential equations (SDE). Estimates for the solution and its parametric derivatives are obtained by statistical modelling of SDE trajectories by the Euler method. The results of numerical experiments are presented.

Using SDE for solving inverse parabolic boundary value problem with a Neumann boundary condition