Single cell discretization of \(O(kh^2+h^4)\) for the estimates of \(\frac{\partial u}{\partial n}\) for two-space dimensional quasi-linear parabolic equation (Q2725055)
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: Single cell discretization of \(O(kh^2+h^4)\) for the estimates of \(\frac{\partial u}{\partial n}\) for two-space dimensional quasi-linear parabolic equation |
scientific article; zbMATH DE number 1618698
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Single cell discretization of \(O(kh^2+h^4)\) for the estimates of \(\frac{\partial u}{\partial n}\) for two-space dimensional quasi-linear parabolic equation |
scientific article; zbMATH DE number 1618698 |
Statements
16 September 2001
0 references
error bounds
0 references
quasi-linear parabolic equation
0 references
explicit difference methods
0 references
0 references
Single cell discretization of \(O(kh^2+h^4)\) for the estimates of \(\frac{\partial u}{\partial n}\) for two-space dimensional quasi-linear parabolic equation (English)
0 references
The authors develop new two-level explicit difference methods for two-space dimensional quasi-linear parabolic equation in the unit square. These methods have for the normal derivative of the solution an \(O(kh^2+h^4)\)-order of approximation and use a single computational cell. The proposed methods are applicable to the problem in both cartesian and polar planes.
0 references
