Rasulov, M2024-03-132024-03-1320050096-30031873-5649https://doi.org/10.1016/j.amc.2004.08.032https://hdl.handle.net/20.500.12662/3605A numerical method is proposed for a system of nonlinear partial differential equations which describe the flow of three phased mixture in a porous medium taking the capillary pressure into account. For this aim, firstly, by splitting the system of differential equations with respect to physical factors, a special auxiliary problem is introduced. Then, on the basis of this auxiliary problem, the finite differences method for solving the solution of the main problem in a class of discontinuous functions is developed, which accurately describes the whole properties of the physical problem at interest. Some results of the numerical experiments of physical interest are presented. (c) 2004 Elsevier Inc. All rights reserved.eninfo:eu-repo/semantics/closedAccessnumerical modeling filtration of three phase mixture in a porous mediumdynamical distribution of saturationsnonlinear wave propagationshock wavessplitting on physical factorsArticle10.1016/j.amc.2004.08.0322-s2.0-2514445569612662Q11249167WOS:000232501200034Q2