Solution of nonlinear transport–diffusion problems by linearization

摘要

We construct and analyze a fully discretization scheme for approximating the solution of a class of nonlinear degenerate parabolic problems with a nonlinear Neumann boundary conditions. The method is based on Rothe type discretization in time and on wavelet-Galerkin discretization in space. A proof of convergence of the approximate solution is given and error estimates are proved.