Article ID Journal Published Year Pages File Type
6420609 Applied Mathematics and Computation 2015 10 Pages PDF
Abstract

In this paper we study the numerical resolution of a reinforced random walk model arising in haptotaxis and the stabilization of solutions. The model consists of a system of two differential equations, one parabolic equation with a second order non-linear term (haptotaxis term) coupled to an ODE in a bounded two dimensional domain. We assume radial symmetry of the solutions. The scheme of resolution is based on the application of the characteristics method together with a finite element one. We present some numerical simulations which illustrate some features of the numerical stabilization of solutions.

Related Topics
Physical Sciences and Engineering Mathematics Applied Mathematics
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