DocumentCode
3021327
Title
Wavelet soft-threshold method for determining an unknown source in a diffusion equation
Author
Wang, Jin-Ru
Author_Institution
Dept. of Appl. Math., Beijing Univ. of Technol., Beijing, China
fYear
2009
fDate
12-15 July 2009
Firstpage
433
Lastpage
436
Abstract
We consider the problem of determining an unknown source, which depends only on the spatial variable, in a diffusion equation. This is an ill-posed problem. For a reconstruction of the solution from indirect data, the dual least squares method generated by the family of Shannon wavelet subspaces is applied. Moreover, a certain simple nonlinear modification of the method based on local refinements of the wavelet expansion of the noisy data is investigated.
Keywords
diffusion; least squares approximations; wavelet transforms; Shannon wavelet subspaces; diffusion equation; dual least squares method; local refinement; nonlinear modification; solution reconstruction; spatial variable; wavelet expansion; wavelet soft-threshold method; Equations; Pattern analysis; Pattern recognition; Wavelet analysis; Ill-posed problem; Shannon wavelets; dual least squares method; soft-threshold;
fLanguage
English
Publisher
ieee
Conference_Titel
Wavelet Analysis and Pattern Recognition, 2009. ICWAPR 2009. International Conference on
Conference_Location
Baoding
Print_ISBN
978-1-4244-3728-3
Electronic_ISBN
978-1-4244-3729-0
Type
conf
DOI
10.1109/ICWAPR.2009.5207496
Filename
5207496
Link To Document