International Journal of Mathematics and Mathematical Sciences
Volume 2005 (2005), Issue 8, Pages 1221-1237
doi:10.1155/IJMMS.2005.1221
Optimal Tikhonov approximation for a sideways parabolic equation
Chu-Li Fu1
, Hong-Fang Li1
, Xiang-Tuan Xiong1
and Peng Fu4
1Department of Mathematics, Lanzhou University, Lanzhou 730000, China
4Institute of Network, School of Electronics and Information Engineering, Xi'an Jiaotong University, Xi'an 710049, China
Abstract
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.