Convergence of discrete approximation of BV solution of a class of singular diffusion equations (Q2566966)
From MaRDI portal
scientific article
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Convergence of discrete approximation of BV solution of a class of singular diffusion equations |
scientific article |
Statements
Convergence of discrete approximation of BV solution of a class of singular diffusion equations (English)
0 references
29 September 2005
0 references
The Cauchy problem for the singular diffusion equation is solved in the subspace of locally bounded variation functions (BV functions). The convergence of the finite difference method for this problem to their exact solution is proved. The relation imposed to the steps \(\Delta x\) and \(\Delta t\) is known.
0 references
initial value problem
0 references
convergence
0 references
singular diffusion equation
0 references
\(BV\) solution
0 references
0 references
0 references
