Numerical solution of fast diffusion or slow diffusion equations

✍ Scribed by Marie-Noëlle Le Roux

• Publisher: Elsevier Science
• Year: 1998
• Tongue: English
• Weight: 722 KB
• Volume: 97
• Category: Article
• ISSN: 0377-0427
• DOI: 10.1016/s0377-0427(98)00106-x

✦ Synopsis

In this paper, the author proposes a semi-discretization in time of a nonlinear reaction diffusion equation (fast or slow diffusion), the solution of which may vanish or blow up in a finite time. The approximate value at each time step is solution of a nonlinear equation which is solved by using an iterative method. It is proved that if the exact solution vanishes or blows up in a finite time, it is the same for the numerical solution.