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Numerical resolution of a reinforced random walk model arising in haptotaxis

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  • Muñoz, Ana I.
  • Ignacio Tello, J.

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.

Suggested Citation

  • Muñoz, Ana I. & Ignacio Tello, J., 2015. "Numerical resolution of a reinforced random walk model arising in haptotaxis," Applied Mathematics and Computation, Elsevier, vol. 256(C), pages 415-424.
    • Handle: RePEc:eee:apmaco:v:256:y:2015:i:c:p:415-424
    DOI: 10.1016/j.amc.2015.01.043
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