Finite volume methods for degenerate chemotaxis model

نویسندگان

  • Boris P. Andreianov
  • Mostafa Bendahmane
  • Mazen Saad
چکیده

A finite volume method for solving the degenerate chemotaxis model is presented, along with numerical examples. This model consists of a degenerate parabolic convection– diffusion PDE for the density of the cell-population coupled to a parabolic PDE for the chemoattractant concentration. It is shown that discrete solutions exist, and the scheme converges.

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عنوان ژورنال:
  • J. Computational Applied Mathematics

دوره 235  شماره 

صفحات  -

تاریخ انتشار 2011