Quarterly of Applied Mathematics

Quarterly of Applied Mathematics

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Numerical approach to the waiting time for the one-dimensional porous medium equation


Authors: Tatsuyuki Nakaki and Kenji Tomoeda
Journal: Quart. Appl. Math. 61 (2003), 601-612
MSC: Primary 35K57; Secondary 35K65, 65M99, 76S05
DOI: https://doi.org/10.1090/qam/2019614
MathSciNet review: MR2019614
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Abstract: We consider the nonlinear degenerate diffusion equation. The most striking manifestation of the nonlinearity and degeneracy is an appearance of interfaces. Under some condition imposed on the initial function, the interfaces do not move on some time interval $ \left[ {0,{t^*}} \right]$. In this paper, from numerical points of view, we try to determine the value of $ {t^*}$, which is called the waiting time.


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DOI: https://doi.org/10.1090/qam/2019614
Article copyright: © Copyright 2003 American Mathematical Society


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