Characteristic finite difference methods for moving boundary value problem of numerical simulation of oil deposit

Flows in porous media; filtration; seepage (76S05) Multiphase and multicomponent flows (76T99) Finite difference methods applied to problems in fluid mechanics (76M20) Second-order nonlinear hyperbolic equations (35L70) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Numerical aspects of the method of characteristics for initial value and initial-boundary value problems involving PDEs (65M25) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Free boundary problems for PDEs (35R35)

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