Numerical resolution of a reinforced random walk model arising in haptotaxis

Ana I. Muñoz and J. Ignacio Tello

Applied Mathematics and Computation, 2015, vol. 256, issue C, 415-424

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.

Keywords: Haptotaxis; Parabolic PDE; ODE; Characteristics method; Finite element method; Stabilization of solutions (search for similar items in EconPapers)
Date: 2015
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:256:y:2015:i:c:p:415-424

DOI: 10.1016/j.amc.2015.01.043

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