The truncation method for a two-dimensional nonhomogeneous backward heat problem (Q988584)
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: The truncation method for a two-dimensional nonhomogeneous backward heat problem |
scientific article; zbMATH DE number 5772420
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The truncation method for a two-dimensional nonhomogeneous backward heat problem |
scientific article; zbMATH DE number 5772420 |
Statements
The truncation method for a two-dimensional nonhomogeneous backward heat problem (English)
0 references
18 August 2010
0 references
The backward heat problem with homogeneous Dirichlet condition on the rectangle is considered. The problem is severely ill-posed. Using the truncation method for Fourier series a simple regularized solution is proposed which not only works on a very weak condition on the exact data but also attains, due to the smoothness of the exact solution, explicit error estimates. Some numerical examples are given to illuminate the effect of the method.
0 references
backward heat problem
0 references
ill-posed problem
0 references
truncation method
0 references
error estimate
0 references
regularization
0 references
Fourier series
0 references
numerical examples
0 references
0 references
0 references
