In this paper, we propose and analyze a linear finite volume scheme for general nonlinear cross-diffusion systems. The scheme consists of discretization of linear elliptic equations and pointwise explicit algebraic corrections at each time step. Therefore, the scheme can be implemented very easily, moreover, it is unconditionally stable. We establish error estimates in the L2 norm.
All Science Journal Classification (ASJC) codes
- Computational Mathematics
- Applied Mathematics