Numerical resolution of a reinforced random walk model arising in haptotaxis

Tello del Castillo, José Ignacio and Muñoz Montalvo, Ana Isabel (2015). Numerical resolution of a reinforced random walk model arising in haptotaxis. "Applied mathematics and computation", v. 256 ; pp. 415-424. ISSN 0096-3003. https://doi.org/10.1016/j.amc.2015.01.043.

Description

Title: Numerical resolution of a reinforced random walk model arising in haptotaxis
Author/s:
  • Tello del Castillo, José Ignacio
  • Muñoz Montalvo, Ana Isabel
Item Type: Article
Título de Revista/Publicación: Applied mathematics and computation
Date: 1 April 2015
Volume: 256
Subjects:
Freetext Keywords: Haptotaxis ; Parabolic PDE ;ODE ; Characteristics method ; Finite element method ; Stabilization of solutions
Faculty: E.T.S.I. de Sistemas Informáticos (UPM)
Department: Matemática Aplicada a las Tecnologías de la Información y las Comunicaciones
Creative Commons Licenses: Recognition - No derivative works - Non commercial

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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.

More information

Item ID: 44789
DC Identifier: http://oa.upm.es/44789/
OAI Identifier: oai:oa.upm.es:44789
DOI: 10.1016/j.amc.2015.01.043
Official URL: http://www.sciencedirect.com/science/article/pii/S0096300315000570
Deposited by: Memoria Investigacion
Deposited on: 28 Apr 2017 16:44
Last Modified: 28 Apr 2017 21:48
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