Construction of two-dimensional multiparameter mathematical models of the problem of the theory of nonlinear filtration of fluids

The article discusses the construction and development of algorithms for solving two-dimensional generalized mathematical models of the filtration process of Newtonian and non-Newtonian fluids. The multiparameter generalized model includes 13 known and previously unknown models. The classification of the models is carried out in accordance with the laws of filtration and the algorithms for the solution are grouped. Partial numerical solutions of individual problems are presented.

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