Supergeometric convergence of spectral collocation methods for weakly singular Volterra and fredholm integral equations with smooth solutions

doi:10.4208/jcm.1110-m11si06

科研成果详情

发表状态	已发表Published
题名	Supergeometric convergence of spectral collocation methods for weakly singular Volterra and fredholm integral equations with smooth solutions
作者	Huang, Can 1; Tang, Tao2 ; Zhang, Zhimin 1
发表日期	2011
发表期刊	Journal of Computational Mathematics
ISSN/eISSN	0254-9409
卷号	29 期号:6 页码:698-719
摘要	A spectral collocation method is proposed to solve Volterra or Predholm integral equations with weakly singular kernels and corresponding integro-differential equations by virtue of some identities. For a class of functions that satisfy certain regularity conditions on a bounded domain, we obtain geometric or supergeometric convergence rate for both types of equations. Numerical results confirm our theoretical analysis. Copyright 2011 by AMSS, Chinese Academy of Sciences.
关键词	Collocation method Integro-differential equations Weakly singular kernel
DOI	10.4208/jcm.1110-m11si06
URL	查看来源
收录类别	SCIE
语种	英语English
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000298618100007
引用统计	被引频次：22[WOS] [WOS记录] [WOS相关记录]
文献类型	期刊论文
条目标识符	https://repository.uic.edu.cn/handle/39GCC9TT/1806
专题	个人在本单位外知识产出
通讯作者	Huang, Can
作者单位	1.Department of Mathematics, Wayne State University, Detroit, MI 48202, United States 2.Department of Mathematics, Hong Kong Baptist University, Kowloon Tong, Hong Kong, Hong Kong
推荐引用方式 GB/T 7714	Huang, Can,Tang, Tao,Zhang, Zhimin. Supergeometric convergence of spectral collocation methods for weakly singular Volterra and fredholm integral equations with smooth solutions[J]. Journal of Computational Mathematics, 2011, 29(6): 698-719.
APA	Huang, Can, Tang, Tao, & Zhang, Zhimin. (2011). Supergeometric convergence of spectral collocation methods for weakly singular Volterra and fredholm integral equations with smooth solutions. Journal of Computational Mathematics, 29(6), 698-719.
MLA	Huang, Can,et al."Supergeometric convergence of spectral collocation methods for weakly singular Volterra and fredholm integral equations with smooth solutions". Journal of Computational Mathematics 29.6(2011): 698-719.