Optimal Tikhonov approximation for a sideways parabolic equation
We consider an inverse heat conduction problem with convection term which appears in some applied subjects. This problem is ill posed in the sense that the solution (if it exists) does not depend continuously on the data. A generalized Tikhonov regularization method for this problem is given, which...
Saved in:
| Main Authors: | , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2005-01-01
|
| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/IJMMS.2005.1221 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832561743456370688 |
|---|---|
| author | Chu-Li Fu Hong-Fang Li Xiang-Tuan Xiong Peng Fu |
| author_facet | Chu-Li Fu Hong-Fang Li Xiang-Tuan Xiong Peng Fu |
| author_sort | Chu-Li Fu |
| collection | DOAJ |
| description | We consider an inverse heat conduction problem with convection term which appears in some applied subjects. This problem is ill posed in the sense that the solution (if it exists) does not depend
continuously on the data. A generalized Tikhonov regularization method for this problem is given, which realizes the best possible accuracy. |
| format | Article |
| id | doaj-art-f26105516d8941d397fe987b2c12210e |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2005-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-f26105516d8941d397fe987b2c12210e2025-02-03T01:24:20ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252005-01-01200581221123710.1155/IJMMS.2005.1221Optimal Tikhonov approximation for a sideways parabolic equationChu-Li Fu0Hong-Fang Li1Xiang-Tuan Xiong2Peng Fu3Department of Mathematics, Lanzhou University, Lanzhou 730000, ChinaDepartment of Mathematics, Lanzhou University, Lanzhou 730000, ChinaDepartment of Mathematics, Lanzhou University, Lanzhou 730000, ChinaInstitute of Network, School of Electronics and Information Engineering, Xi'an Jiaotong University, Xi'an 710049, ChinaWe consider an inverse heat conduction problem with convection term which appears in some applied subjects. This problem is ill posed in the sense that the solution (if it exists) does not depend continuously on the data. A generalized Tikhonov regularization method for this problem is given, which realizes the best possible accuracy.http://dx.doi.org/10.1155/IJMMS.2005.1221 |
| spellingShingle | Chu-Li Fu Hong-Fang Li Xiang-Tuan Xiong Peng Fu Optimal Tikhonov approximation for a sideways parabolic equation International Journal of Mathematics and Mathematical Sciences |
| title | Optimal Tikhonov approximation for a sideways parabolic equation |
| title_full | Optimal Tikhonov approximation for a sideways parabolic equation |
| title_fullStr | Optimal Tikhonov approximation for a sideways parabolic equation |
| title_full_unstemmed | Optimal Tikhonov approximation for a sideways parabolic equation |
| title_short | Optimal Tikhonov approximation for a sideways parabolic equation |
| title_sort | optimal tikhonov approximation for a sideways parabolic equation |
| url | http://dx.doi.org/10.1155/IJMMS.2005.1221 |
| work_keys_str_mv | AT chulifu optimaltikhonovapproximationforasidewaysparabolicequation AT hongfangli optimaltikhonovapproximationforasidewaysparabolicequation AT xiangtuanxiong optimaltikhonovapproximationforasidewaysparabolicequation AT pengfu optimaltikhonovapproximationforasidewaysparabolicequation |