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Characteristics Collocation Method of Compressible Miscible Displacement with Dispersion

Read  full  paper  at: http://www.scirp.org/journal/PaperInformation.aspx?PaperID=53598#.VMnoLCzQrzE Author(s)     Ning Ma , Xiaofei Lu Affiliation(s) College of Science, China University of Petroleum, Beijing, China . ABSTRACT 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. KEYWORDS Compressible , Dispersion , Characteristics Collocation , Non-Periodic Cite this paper Ma, N. and Lu, X. (2015) Characteristics Collocation Method of Compressible Miscible Displacement with Dispersion. Journal of Applied Mathematics and Physics , 3 , 86-91. doi: 10.4236/jamp.2015.31012 . References [ 1 ] Douglas Jr., J. and Roberts, J.E. (1983) Numerical Methods for a Mod...