Numerical solution of fast diffusion or slow diffusion equations

被引：9

作者：

Le Roux, MN ^{[1
]}

机构：

[1] Univ Bordeaux 1, GRAMM, F-33405 Talence, France

来源：

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 1998年 / 97卷 / 1-2期

关键词：

D O I：

10.1016/S0377-0427(98)00106-X

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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. (C) 1998 Elsevier Science B.V. All rights reserved.

引用

页码：121 / 136

页数：16

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