Proceedings of the Japan Academy, Series A, Mathematical Sciences

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

Tatsuyuki Nakaki and Kenji Tomoeda

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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.

Article information

Source
Proc. Japan Acad. Ser. A Math. Sci., Volume 77, Number 2 (2001), 32-37.

Dates
First available in Project Euclid: 23 May 2006

Permanent link to this document
https://projecteuclid.org/euclid.pja/1148393124

Digital Object Identifier
doi:10.3792/pjaa.77.32

Mathematical Reviews number (MathSciNet)
MR1812044

Zentralblatt MATH identifier
0985.65101

Subjects
Primary: 65M12: Stability and convergence of numerical methods
Secondary: 35K65: Degenerate parabolic equations 35B99: None of the above, but in this section

Keywords
Nonlinear diffusion finite speed of propagation interface difference scheme

Citation

Nakaki, Tatsuyuki; Tomoeda, Kenji. A finite difference approach to the interface equation for some nonlinear diffusion equations with absorption. Proc. Japan Acad. Ser. A Math. Sci. 77 (2001), no. 2, 32--37. doi:10.3792/pjaa.77.32. https://projecteuclid.org/euclid.pja/1148393124


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References

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