RT Journal Article
T1 Solving a fully parabolic chemotaxis system with periodic asymptotic behavior using Generalized Finite Difference Method
A1 Benito, J. J.
A1 García, A.
A1 Gavete, L.
A1 Negreanu Pruna, Mihaela
A1 Ureña, F.
A1 Vargas, A. M.
AB This work studies a parabolic-parabolic chemotactic PDE's system which describes the evolution of a biological population “U” and a chemical substance “V”, using a Generalized Finite Difference Method, in a two dimensional bounded domain with regular boundary. In a previous paper [12], the authors asserted global classical solvability and periodic asymptotic behavior for the continuous system in 2D. In this continuous work, a rigorous proof of the global classical solvability to the discretization of the model proposed in [12] is presented in two dimensional space. Numerical experiments concerning the convergence in space and in time, and long-time simulations are presented in order to illustrate the accuracy, efficiency and robustness of the developed numerical algorithms.
PB Elsevier
SN 0168-9274
YR 2020
FD 2020-07-02
LK https://hdl.handle.net/20.500.14352/7280
UL https://hdl.handle.net/20.500.14352/7280
LA eng
DS Docta Complutense
RD 13 may 2025