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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

Information

Published: Feb. 2001
First available in Project Euclid: 23 May 2006

zbMATH: 0985.65101
MathSciNet: MR1812044
Digital Object Identifier: 10.3792/pjaa.77.32

Subjects:
Primary: 65M12
Secondary: 35B99 , 35K65

Keywords: difference scheme , finite speed of propagation , Interface , Nonlinear diffusion

Rights: Copyright © 2001 The Japan Academy

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Vol.77 • No. 2 • Feb. 2001
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