SOLUTION OF DOUBLY NONLINEAR AND DEGENERATE PARABOLIC PROBLEMS BY RELAXATION SCHEMES

Authors
JAGER W KACUR J
Citation
W. Jager et J. Kacur, SOLUTION OF DOUBLY NONLINEAR AND DEGENERATE PARABOLIC PROBLEMS BY RELAXATION SCHEMES, Modelisation mathematique et analyse numerique, 29(5), 1995, pp. 605-627
Citations number
26
Categorie Soggetti
Mathematics,Mathematics
Journal title
Modelisation mathematique et analyse numerique → ACNP
ISSN journal
0764583X
Volume
29
Issue
5
Year of publication
1995
Pages
605 - 627
Database
ISI
SICI code
0764-583X(1995)29:5<605:SODNAD>2.0.ZU;2-H
Abstract
A numerical method is proposed to solve degenerate double nonlinear pa rabolic problems. The degeneracy include both: locally fast and slow d iffusion. The proposed method is based on a nonstandard time discretiz ation 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.