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Discretization of the Cauchy problem for a fast diffusion equation

✍ Scribed by Paul-Emile Maingé


Publisher
Elsevier Science
Year
2008
Tongue
English
Weight
277 KB
Volume
213
Category
Article
ISSN
0377-0427

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✦ Synopsis


In this paper, we propose and study a fully discretization for computing the positive and (possibly) blowing-up solution of the Cauchy problem: u t -j 2

x u m = u p 1 in R, where m ∈ (0, 1), p 1 > 1, > 0, with an initial condition u 0 assumed to be a nonnegative and continuous function with compact support. The convergence of the numerical method is proved.


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