The multi-projection method for weakly singular Fredholm integral equations of the second kind

doi:10.1080/00207160903019472

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	The multi-projection method for weakly singular Fredholm integral equations of the second kind
	Long, Guangqing 1,2; Nelakanti, Gnaneshwar 3
	2010
发表期刊	INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS
ISSN	0020-7160
卷号	87 期号:14 页码:3254-3265
摘要	In this paper, we propose a multi-projection method and its re-iterated algorithm for solving weakly singular Fredholm integral equations of the second kind. We apply our methods to Petrov-Galerkin versions to establish excellent superconvergence results, and we illustrate our theoretical results with a numerical example.
关键词	super-convergence rates multi-projection methods singularity preserving Petrov-Galerkin methods integral equations
DOI	10.1080/00207160903019472
语种	英语
资助项目	China Postdoctoral Science Foundation[2005037603] ; Guangxi Science Foundation of P.R. China[0728044]
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000284409000013
出版者	TAYLOR & FRANCIS LTD
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/10985
专题	中国科学院数学与系统科学研究院
通讯作者	Long, Guangqing
作者单位	1.Guangxi Normal Coll, Dept Math, Nanning 530001, Peoples R China 2.Chinese Acad Sci, Inst Math, Acad Math & Syst Sci, Beijing 100080, Peoples R China 3.Indian Inst Technol, Dept Math, Kharagpur 721302, W Bengal, India
推荐引用方式 GB/T 7714	Long, Guangqing,Nelakanti, Gnaneshwar. The multi-projection method for weakly singular Fredholm integral equations of the second kind[J]. INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS,2010,87(14):3254-3265.
APA	Long, Guangqing,&Nelakanti, Gnaneshwar.(2010).The multi-projection method for weakly singular Fredholm integral equations of the second kind.INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS,87(14),3254-3265.
MLA	Long, Guangqing,et al."The multi-projection method for weakly singular Fredholm integral equations of the second kind".INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS 87.14(2010):3254-3265.