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Numerical resolution of a reinforced random walk model arising in haptotaxis
Cita
Tello del Castillo, José Ignacio 
ORCID: https://orcid.org/0000-0003-2671-7803 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.
ORCID: https://orcid.org/0000-0003-2671-7803 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.
Descripción
| Título: | Numerical resolution of a reinforced random walk model arising in haptotaxis |
|---|---|
| Autor/es: |
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| Tipo de Documento: | Artículo |
| Título de Revista/Publicación: | Applied mathematics and computation |
| Fecha: | 1 Abril 2015 |
| ISSN: | 0096-3003 |
| Volumen: | 256 |
| Materias: | |
| ODS: | |
| Palabras Clave Informales: | Haptotaxis ; Parabolic PDE ;ODE ; Characteristics method ; Finite element method ; Stabilization of solutions |
| Escuela: | E.T.S.I. de Sistemas Informáticos (UPM) |
| Departamento: | Matemática Aplicada a las Tecnologías de la Información y las Comunicaciones |
| Licencias Creative Commons: | Reconocimiento - Sin obra derivada - No comercial |
Resumen
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.
Más información
| ID de Registro: | 44789 |
|---|---|
| Identificador DC: | https://oa.upm.es/44789/ |
| Identificador OAI: | oai:oa.upm.es:44789 |
| URL Portal Científico: | https://portalcientifico.upm.es/es/ipublic/item/5491610 |
| Identificador DOI: | 10.1016/j.amc.2015.01.043 |
| URL Oficial: | http://www.sciencedirect.com/science/article/pii/S... |
| Depositado por: | Memoria Investigacion |
| Depositado el: | 28 Abr 2017 16:44 |
| Ultima Modificación: | 12 Nov 2025 00:00 |
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