On an explicit scheme for filtration problem solution

The paper is devoted to the consideration of the different models of compressible fluid filtration. As compared to the classical equation system, the discontinuity equation is modified taking into account the minimum scale of space averaging and system internal relaxation time. Three-level explicit finite difference schemes are proposed convenient for parallel implementation. Because of changing of equation system type from parabolic to hyperbolic one, the stability requirements become softer as compared to the two-level schemes.