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Sinc Nyström method for singularly perturbed Love’s integral equation
Fu-Rong Lin1; Xin Lu1; Xiao-Qing Jin2
2015-05-28
Source PublicationEast Asian Journal on Applied Mathematics
Volume3Issue:1Pages:48-58
Abstract

An efficient numerical method is proposed for the solution of Love's integral equation

where c > 0 is a small parameter, by using a sinc Nyström method based on a double exponential transformation. The method is derived using the property that the solution ƒ(x) of Love's integral equation satisfies ƒ (x) → 0.5 for x ∈ (−1, 1) when the parameter c → 0. Numerical results show that the proposed method is very efficient.

KeywordLove's Integral Equation Sinc Function Nystrom Method De-sinc Quadrature
DOI10.4208/eajam.291112.220213a
URLView the original
Indexed BySCI
Language英语
WOS Research AreaMathematics
WOS SubjectMathematics, Applied
WOS IDWOS:000325517200004
PublisherGLOBAL SCIENCE PRESS
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Citation statistics
Cited Times [WOS]:4   [WOS Record]     [Related Records in WOS]
Document TypeJournal article
CollectionFaculty of Science and Technology
Affiliation1.Department of Mathematics, Shantou University, Shantou, Guangdong, 515063, China
2.Department of Mathematics, University of Macau, Macao, China
Recommended Citation
GB/T 7714
Fu-Rong Lin,Xin Lu,Xiao-Qing Jin. Sinc Nyström method for singularly perturbed Love’s integral equation[J]. East Asian Journal on Applied Mathematics,2015,3(1):48-58.
APA Fu-Rong Lin,Xin Lu,&Xiao-Qing Jin.(2015).Sinc Nyström method for singularly perturbed Love’s integral equation.East Asian Journal on Applied Mathematics,3(1),48-58.
MLA Fu-Rong Lin,et al."Sinc Nyström method for singularly perturbed Love’s integral equation".East Asian Journal on Applied Mathematics 3.1(2015):48-58.
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