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...
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Main Authors: | , , , |
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Format: | Article |
Language: | English |
Published: |
Wiley
2005-01-01
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Series: | International Journal of Mathematics and Mathematical Sciences |
Online Access: | http://dx.doi.org/10.1155/IJMMS.2005.1221 |
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Summary: | 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. |
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ISSN: | 0161-1712 1687-0425 |