Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
9506379 | Applied Mathematics and Computation | 2005 | 18 Pages |
Abstract
A 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.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Mahir Rasulov,