2026-06-29T01:40:22Zhttps://docta.ucm.es/rest/oai/request

oai:docta.ucm.es:20.500.14352/77312024-09-27T17:58:54Zcom_20.500.14352_14col_20.500.14352_15

On the numerical solution to a parabolic-elliptic system with chemotactic and periodic terms using Generalized Finite Differences Benito, J.J. García, A. Gavete, L. Negreanu Pruna, Mihaela Ureña, F. Vargas, A. M. 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. 2023-06-17T08:57:47Z 2023-06-17T08:57:47Z 2020-04 journal article 09557997 10.1016/j.enganabound.2020.01.002 https://hdl.handle.net/20.500.14352/7731 https://doi.org/10.1016/j.enganabound.2020.01.002 https://www.sciencedirect.com/science/article/pii/S0955799720300023 eng MTM2013-42907-P 2019-IFC02 ) (Research groups 2019) open access Elsevier