Numerical solution of hypersingular equation using recursive wavelet on invariant set | |
Zhou, Yue-Ting1,2; Li, Jin2; Yu, De-Hao2; Lee, Kang Yong1 | |
刊名 | APPLIED MATHEMATICS AND COMPUTATION
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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 |
DOI | 10.1016/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 |
出版者 | ELSEVIER SCIENCE INC |
WOS记录号 | WOS:000281063300048 |
内容类型 | 期刊论文 |
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. |
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