Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
6420609 | Applied Mathematics and Computation | 2015 | 10 Pages |
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
Authors
Ana I. Muñoz, J. Ignacio Tello,