RT Journal Article
T1 On the numerical solution to a parabolic-elliptic system with chemotactic and periodic terms using Generalized Finite Differences
A1 Benito, J.J.
A1 García, A.
A1 Gavete, L.
A1 Negreanu Pruna, Mihaela
A1 Ureña, F.
A1 Vargas, A. M.
AB In the present paper we propose the Generalized Finite Difference Method (GFDM) for numerical solution of a cross-diffusion system with chemotactic terms. We derive the discretization of the system using a GFD scheme in order to prove and illustrate that the uniform stability behavior/ convergence of the continuous model is also preserved for the discrete model. We prove the convergence of the explicit method and give the conditions of convergence. Extensive numerical experiments are presented to illustrate the accuracy, efficiency and robustness of the GFDM.
PB Elsevier
SN 09557997
YR 2020
FD 2020-04
LK https://hdl.handle.net/20.500.14352/7731
UL https://hdl.handle.net/20.500.14352/7731
LA eng
NO Ministerio de Ciencia e Innovación (MICINN)
NO Universidad Nacional de Educación a Distancia (UNED)
NO Universidad Politécnica de Madrid (UPM)
DS Docta Complutense
RD 29 abr 2025