The development of approximate methods for solving two-phase filtration problem
The paper discusses the substantiation of approximate solution methods for solving the problem of filtration theory. In particular, the substantiation of the method of fictitious domains (MFO) for solving two-phase filtration of a liquid in a porous medium in multiply connected domains and the construction of a variational-difference scheme (HRV) and the rate of convergence of approximate solutions to solving the original problem.