UM
Solution for the singular integral equation with Hilbert kernel based on wavelet
Cui L.1; Wang Y.3; Liao F.1; Feng X.3; Tang Y.2
2005-12-01
Source PublicationBeijing Keji Daxue Xuebao/Journal of University of Science and Technology Beijing
ISSN1001053X
Volume27Issue:6Pages:764-768
AbstractMany problems arising in mechanics and technology can be formulated as the first kind of singular integral equation. A Wavelet-Galerkin algorithm for solving the first kind of singular integral equation with Hilbert kernel was presented. In the algorithm the characteristic of periodic wavelet on L([0, 1]) and the Hilbert kernel were used to solve and make the stiff matrix lower dimension and become sparser through threshold. The computational amount was decreased and the memory space was saved. Because of the singularity of Hilbert kernel the Tikhonov regularization method was used to solve the stiff equation system. The convergence and the numerical result of approximate solution are discussed.
KeywordGalerkin method Periodic wavelet Singular integral equation Tikhonov regularization method
URLView the original
Language英語
Fulltext Access
Document TypeJournal article
CollectionUniversity of Macau
Affiliation1.University of Science and Technology Beijing
2.Hong Kong Baptist University
3.Xidian University
Recommended Citation
GB/T 7714
Cui L.,Wang Y.,Liao F.,et al. Solution for the singular integral equation with Hilbert kernel based on wavelet[J]. Beijing Keji Daxue Xuebao/Journal of University of Science and Technology Beijing,2005,27(6):764-768.
APA Cui L.,Wang Y.,Liao F.,Feng X.,&Tang Y..(2005).Solution for the singular integral equation with Hilbert kernel based on wavelet.Beijing Keji Daxue Xuebao/Journal of University of Science and Technology Beijing,27(6),764-768.
MLA Cui L.,et al."Solution for the singular integral equation with Hilbert kernel based on wavelet".Beijing Keji Daxue Xuebao/Journal of University of Science and Technology Beijing 27.6(2005):764-768.
Files in This Item:
There are no files associated with this item.
Related Services
Recommend this item
Bookmark
Usage statistics
Export to Endnote
Google Scholar
Similar articles in Google Scholar
[Cui L.]'s Articles
[Wang Y.]'s Articles
[Liao F.]'s Articles
Baidu academic
Similar articles in Baidu academic
[Cui L.]'s Articles
[Wang Y.]'s Articles
[Liao F.]'s Articles
Bing Scholar
Similar articles in Bing Scholar
[Cui L.]'s Articles
[Wang Y.]'s Articles
[Liao F.]'s Articles
Terms of Use
No data!
Social Bookmark/Share
All comments (0)
No comment.
 

Items in the repository are protected by copyright, with all rights reserved, unless otherwise indicated.