Filtering precipitation through soil

The article studies the process of filtering precipitation through soil. Two mathematical models are obtained and used, specifically, deterministic and stochastic ones. The basis of these tasks is a diffusion parabolic partial differential equation supplemented by initial-boundary conditions. The findings are used in solving the stochastic problem. The mathematical analytical formulation of the problem using the finite difference method is reduced to an inhomogeneous linear algebraic system of equations, which is implemented in the environment of the Matlab computing complex. Consideration of the task operator linearity and the principle of superposition reduced the amount of computation significantly. A number of conclusions were drawn on the basis of solutions.