Finite volume simulation of a semi-linear Neumann problem (Keller-Segel model) on rectangular domains

Nardjess Benoudina, Fatima Zohra Boutaf, Nasserdine Kechkar

In this study, the finite volume method is implemented for solving the problem of the semilinear equation: $-d\delta u+u=u^q(d,q>0)$with a homogeneous Neumann boundary condition. Th…