Numerical blow‐up for the porous medium equation with a source
Numerical blow‐up for the porous medium equation with a source
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DOI：
10.1002/num.10103
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发表时间：
2004-07
影响因子：
3.9
通讯作者：
R. Ferreira;Pablo Groisman;J. Rossi
中科院分区：
文献类型：
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作者：
R. Ferreira;Pablo Groisman;J. Rossi
We study numerical approximations of positive solutions of the porous medium equation with a nonlinear source, where m > 1, p > 0 and L > 0 are parameters. We describe in terms of p, m, and L when solutions of a semidiscretization in space exist globally in time and when they blow up in a finite time. We also find the blow‐up rates and the blow‐up sets, proving that there is no regional blow‐up for the numerical scheme. © 2004 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq, 2004
