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
• DOI: 10.1016/j.cam.2007.01.013

✦ 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.