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math.NA2024
An explicit-implicit Generalized Finite Difference scheme for a parabolic-elliptic density-suppressed motility system
Federico Herrero-Hervás
In this work, a Generalized Finite Difference (GFD) scheme is presented for effectively computing the numerical solution of a parabolic-elliptic system modelling a bacterial strain…
math.NA2023
Convergence of a meshless numerical method for a chemotaxis system with density-suppressed motility
Federico Herrero-Hervás, Mihaela Negreanu, Antonio Manuel Vargas
This article studies a parabolic-elliptic system modelling the pattern formation in E. coli bacteria in response to a chemoattractant known as acylhomoserine lactone concentration…