Proc. Japan Acad. Ser. A Math. Sci. 77 (2), 32-37, (Feb. 2001) DOI: 10.3792/pjaa.77.32
Tatsuyuki Nakaki, Kenji Tomoeda
KEYWORDS: Nonlinear diffusion, finite speed of propagation, Interface, difference scheme, 65M12, 35K65, 35B99
We show the validity of the interface equation which describes the behavior of the support of the solution to the one-dimensional porous media equation with absorption. Our proof is based on the finite difference methods.