Abstract
We investigate the inverse problem in the heat equation involving the recovery of the initial temperature from measurements of the final temperature. This problem is extremely ill-posed and it is believed that only information in the first few modes can be recovered by classical methods. We will consider this problem with a regularizing parameter which approximates and regularizes the heat conduction model.
| Original language | English |
|---|---|
| Pages (from-to) | 294-296 |
| Number of pages | 3 |
| Journal | Journal of Heat Transfer |
| Volume | 126 |
| Issue number | 2 |
| DOIs | |
| State | Published - Apr 2004 |
Keywords
- Analytical
- Heat transfer
- Inverse
- Stability
- Temperature
ASJC Scopus subject areas
- General Materials Science
- Condensed Matter Physics
- Mechanics of Materials
- Mechanical Engineering