A high-order accuracy explicit difference scheme for solving the equation of two-dimensional parabolic type (Q1367450)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: A high-order accuracy explicit difference scheme for solving the equation of two-dimensional parabolic type |
scientific article; zbMATH DE number 1064137
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A high-order accuracy explicit difference scheme for solving the equation of two-dimensional parabolic type |
scientific article; zbMATH DE number 1064137 |
Statements
A high-order accuracy explicit difference scheme for solving the equation of two-dimensional parabolic type (English)
0 references
3 February 1998
0 references
The partial differential equation to be solved is the heat equation on a square. The author derives conditions under which three-level, nine-point difference schemes are second-order accurate in time and fourth order spatially. He then uses Fourier analysis to obtain stability conditions for an explicit special case of the scheme.
0 references
heat equation
0 references
finite differences
0 references
stability
0 references
convergence
0 references
