Optimal Tikhonov approximation for a sideways parabolic equation
Author(s) -
ChuLi Fu,
Hong-Fang Li,
Xiangtuan Xiong,
Peng Fu
Publication year - 2005
Publication title -
international journal of mathematics and mathematical sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 39
eISSN - 1687-0425
pISSN - 0161-1712
DOI - 10.1155/ijmms.2005.1221
Subject(s) - tikhonov regularization , mathematics , regularization (linguistics) , inverse problem , thermal conduction , heat equation , mathematical analysis , term (time) , well posed problem , backus–gilbert method , convection , regularization perspectives on support vector machines , mechanics , materials science , physics , quantum mechanics , artificial intelligence , computer science , composite material
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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