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Numerical solution of hypersingular equation using recursive wavelet on invariant set

文献类型：期刊论文

作者Zhou, Yue-Ting1,2; Li, Jin2; Yu, De-Hao2; Lee, Kang Yong1
刊名APPLIED MATHEMATICS AND COMPUTATION
出版日期2010-09-15
卷号217期号:2页码:861-868
关键词Natural boundary integral equation Collocation method Hypersingular integral Recursive Chebyshev wavelet
ISSN号0096-3003
DOI10.1016/j.amc.2010.06.029
英文摘要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.
资助项目National Basic Research Program of China[2005CB321701] ; National Natural Science Foundation of China[10531080]
WOS研究方向Mathematics
语种英语
WOS记录号WOS:000281063300048
出版者ELSEVIER SCIENCE INC
源URL[http://ir.amss.ac.cn/handle/2S8OKBNM/9242]  
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.

入库方式： OAI收割

来源：数学与系统科学研究院

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