Convergence and stability of the Lax-Friedrichs scheme for a nonlinear parabolic polymer flooding problem
The author investigates the numerical solution of a nonlinear parabolic systems of partial differential equations which models a polymer flooding process in enhanced oil recovery. He defines a finite difference approximation of this model (Lax-Friedrichs-scheme), proves the convergence of this scheme to a unique classical solution of the continuous model under some considerations, and he proves the stability of the approximate solutions with respect to perturbations in the initial data and in the fractional flow function.
scientific article; zbMATH DE number 4164073