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A numerical study of the mathematical model of flow in the petroleum reservoirs

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Author(s): P. Reihani Ardabili

Journal: Applied Mathematics and Computational Intelligence
ISSN 2289-1315

Volume: 2;
Issue: 1;
Start page: 67;
Date: 2013;
Original page

Keywords: Petroleum reservoirs | Porous media | Diffusion equation | Adomian decomposition method

ABSTRACT
This paper concerns with the solution of a nonlinear, degenerate, convection-diffusion problem describing two-phase flow in porous media. A numerical procedure based on decomposition scheme is developed to solve the proposed problem. For illustration purpose, two test problems are considered and their series and exact solutions are compared.
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