RT Journal Article
T1 Solving a reaction-diffusion system with chemotaxis andnon-local terms using Generalized Finite DifferenceMethod. Study of the convergence
A1 Benito, J. J.
A1 García, A.
A1 Gavete, L.
A1 Negreanu Pruna, Mihaela
A1 Ureña, F.
A1 Vargas, M. A.
AB In this paper a parabolic-parabolic chemotaxis system of PDEs that describes the evolution of a population with non-local terms is studied. We derive the discretization of the system using the meshless method called Generalized Finite Difference Method. We prove the conditional convergence of the solution obtained from the numerical method to the analytical solution in the two dimensional case. Several examples of the application are given to illustrate the accuracy and efficiency of the numerical method. We also present two examples of a parabolic-elliptic model, as generalized by the parabolic-parabolic system addressed in this paper, to show the validity of the discretization of the non-local terms.
PB Elsevier
SN 0377-0427
YR 2021
FD 2021-06
LK https://hdl.handle.net/20.500.14352/7734
UL https://hdl.handle.net/20.500.14352/7734
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 7 abr 2025