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Solution of doubly nonlinear and degenerate parabolic problems by relaxation schemes. (English) Zbl 0837.65103

Authors’ abstract: A numerical method is proposed to solve degenerate doubly nonlinear parabolic problems. The degeneracy includes both: locally fast and slow diffusion. The proposed method is based on a nonstandard time discretization involving two relaxation functions by means of which the fast or slow diffusion is controlled. 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.
Reviewer: M.Lenard (Kuwait)

MSC:

65M20 Method of lines for initial value and initial-boundary value problems involving PDEs
35K55 Nonlinear parabolic equations
35K65 Degenerate parabolic equations
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