NUMERICAL SOLUTION OF NONLINEAR DIFFUSION WITH FINITE EXTINCTION PHENOMENON
K. MIKULA
Abstract.
The implementation of the numerical method of W. Jager and J. Kacur for solving the porous-medium type problems with strong absorption is disscussed. The computed numerical results concerning the extinction of the solution in finite time and the interface motions are presented.
AMS subject classification.
35K55, 65P05
Keywords.
porous medium equation, strong absorption, finite extinction phenomenon
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