SOLUTION OF DOUBLY NONLINEAR AND DEGENERATE PARABOLIC PROBLEMS BY RELAXATION SCHEMES

A numerical method is proposed to solve degenerate double nonlinear parabolic problems. The degeneracy include both: locally fast and slow diffusion. The proposed method is based on a nonstandard time discretization including two relaxation functions by means of which the fast or slow diffusion is controled. The relaxation functions are determined by iterations. A large scale of diffusion problems with free boundary or their approximations are included in the present setting.