A finite difference approach to the interface equation for some nonlinear diffusion equations with absorption

Tatsuyuki Nakaki; Kenji Tomoeda

doi:10.3792/pjaa.77.32

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Feb. 2001 A finite difference approach to the interface equation for some nonlinear diffusion equations with absorption

Tatsuyuki Nakaki, Kenji Tomoeda

Proc. Japan Acad. Ser. A Math. Sci. 77(2): 32-37 (Feb. 2001). DOI: 10.3792/pjaa.77.32

Abstract

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.

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Tatsuyuki Nakaki. Kenji Tomoeda. "A finite difference approach to the interface equation for some nonlinear diffusion equations with absorption." Proc. Japan Acad. Ser. A Math. Sci. 77 (2) 32 - 37, Feb. 2001. https://doi.org/10.3792/pjaa.77.32