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Characteristics Collocation Method of Compressible Miscible Displacement with Dispersion
Author(s) -
Ning Ma,
Xiaofei Lu
Publication year - 2015
Publication title -
journal of applied mathematics and physics
Language(s) - English
Resource type - Journals
eISSN - 2327-4379
pISSN - 2327-4352
DOI - 10.4236/jamp.2015.31012
Subject(s) - collocation (remote sensing) , compressibility , displacement (psychology) , porous medium , dispersion (optics) , collocation method , nonlinear system , mathematical analysis , orthogonal collocation , mathematics , space (punctuation) , mechanics , materials science , porosity , physics , computer science , optics , psychology , ordinary differential equation , quantum mechanics , machine learning , composite material , psychotherapist , differential equation , operating system
The compressible miscible displacement in a porous media is considered in this paper. The problem is a nonlinear system with dispersion in non-periodic space. The concentration is treated by a characteristics collocation method, and the pressure is treated by an orthogonal collocation method. Optimal order estimates are derived.

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