A finite difference scheme for a degenerated diffusion equation arising in microbial ecology

A finite difference scheme is presented for a density-dependent diffusion equation that arises in the mathematical modelling of bacterial biofilms. The peculiarity of the underlying model is that it shows degeneracy as the dependent variable vanishes, as well as a singularity as the dependent varia...

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Bibliographic Details
Main Authors: Hermann J. Eberl, Laurent Demaret
Format: Article
Language:English
Published: Texas State University 2007-02-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/conf-proc/15/e1/abstr.html