# Институт вычислительной математики

и математической геофизики

# The International Conference on Computational Mathematics

ICCM-2004

June, 21-25, 2004
Novosibirsk, Academgorodok

## Abstracts

*Numerical solution of differential and integral equations*

## Method of a difference solution of a two-phase filtration

**Institute of mathematics and information science of YSU (Yakutsk)**
In work the mathematical model of joint isothermal movement of two not mixing up contracted liquids (water and petroleum) in elastic - deforms to a porous medium is considered. The indicial equations are obtained from fundamental conservation laws of a mechanics of multiphase mediums. For account of pressure profile the additive difference scheme is created, and for account of a saturation the obvious monotone difference scheme with approximation of a derivative against a stream is created. The outcomes of numerical accounts are discussed.

*Note. Abstracts are published in author's edition*

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Last update: 06-Jul-2012 (11:52:06)