Solution for the singular integral equation with Hilbert kernel based on wavelet

Residential College	false
Status	已發表Published
	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 Publication	Beijing Keji Daxue Xuebao/Journal of University of Science and Technology Beijing
ISSN	1001053X
Volume	27 Issue:6 Pages:764-768
Abstract	Many 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.
Keyword	Galerkin method Periodic wavelet Singular integral equation Tikhonov regularization method
URL	View the original
Language	英語English
Fulltext Access	View Full-Text via Scopus
Document Type	Journal article
Collection	University of Macau
Affiliation	1.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.

If you have any objections to this item, please fill out the form below and the administrator will contact you as soon as possible.
Content:
Email：	*
Affiliation No.
Verification Code:	Refresh

Any comments and suggestions are welcomed.
Title:	*
Content:
Email：	*
Verification Code:	Refresh