Numerical solution of hypersingular equation using recursive wavelet on invariant set

doi:10.1016/j.amc.2010.06.029

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	Numerical solution of hypersingular equation using recursive wavelet on invariant set
	Zhou, Yue-Ting 1,2; Li, Jin 2; Yu, De-Hao 2; Lee, Kang Yong 1
	2010-09-15
发表期刊	APPLIED MATHEMATICS AND COMPUTATION
ISSN	0096-3003
卷号	217 期号:2 页码:861-868
摘要	In this paper, we construct the Chebyshev recursive wavelets on a unit interval of the first kind, the second kind and their corresponding weight functions. We apply wavelet collocation method to solve the natural boundary integral equation of the harmonic equation on the lower half-plane numerically. It is convenient and accurate to generate the stiffness matrix. Two numerical examples are presented. It is shown that the stiffness matrix is highly sparse when the order of the stiffness matrix becomes large. Current method allows choosing an appropriate weight function to increase the convergence rate and accuracy of the numerical results. (C) 2010 Elsevier Inc. All rights reserved.
关键词	Natural boundary integral equation Collocation method Hypersingular integral Recursive Chebyshev wavelet
DOI	10.1016/j.amc.2010.06.029
语种	英语
资助项目	National Basic Research Program of China[2005CB321701] ; National Natural Science Foundation of China[10531080]
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000281063300048
出版者	ELSEVIER SCIENCE INC
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/9243
专题	中国科学院数学与系统科学研究院
通讯作者	Lee, Kang Yong
作者单位	1.Yonsei Univ, Sch Mech Engn, Seoul 120749, South Korea 2.CAS, ICMSEC, Acad Math & Syst Sci, State Key Lab Sci & Engn Comp LSEC, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	Zhou, Yue-Ting,Li, Jin,Yu, De-Hao,et al. Numerical solution of hypersingular equation using recursive wavelet on invariant set[J]. APPLIED MATHEMATICS AND COMPUTATION,2010,217(2):861-868.
APA	Zhou, Yue-Ting,Li, Jin,Yu, De-Hao,&Lee, Kang Yong.(2010).Numerical solution of hypersingular equation using recursive wavelet on invariant set.APPLIED MATHEMATICS AND COMPUTATION,217(2),861-868.
MLA	Zhou, Yue-Ting,et al."Numerical solution of hypersingular equation using recursive wavelet on invariant set".APPLIED MATHEMATICS AND COMPUTATION 217.2(2010):861-868.