Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
9506366 | Applied Mathematics and Computation | 2005 | 10 Pages |
Abstract
The nonlinear diffusion-convection equations arising from the theory of transport in porous media is analyzed. The problem under analysis has the formâcât=ââzD(c)âcâz-K(c),where D(c) = D0cm/(1 â vc)m+2 and K(c) = K0cm+2/(1 â vc)m+1. The behavior of solutions when m > 1 and 0 < m < 1, is stated. A numerical method, based on extrapolation, is derived, for solving this problem for m > 0. Numerical and analytical results compared for the cases m = 0, 1 and numerical results for m = 2 and m = 0.5 are stated.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
A. Shidfar, M. Djalalvand, M. Garshasbi,