Finite volume methods for degenerate chemotaxis model期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

按检索

Finite volume methods for degenerate chemotaxis model

Authors:	Boris Andreianov Mazen Saad

Institution:	^a Laboratoire de Mathématiques, CNRS UMR 6623, Universite de Franche-Comte, 25030 Besançon, France ^b Institut Mathematiques de Bordeaux, Universite Victor Segalen Bordeaux 2, Place de la Victoire, 33076 Bordeaux, France ^c Ecole Centrale de Nantes, Département Informatique et Mathématiques, Laboratoire de Mathématiques Jean Leray (UMR 6629 CNRS), 1, rue de la Noé, BP 92101, F-44321 Nantes Cedex 3, France

Abstract:	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.

Keywords:	Degenerate Reaction-diffusion Chemotaxis Finite volume scheme
本文献已被 ScienceDirect 等数据库收录！