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Sinc Nyström Method for Singularly Perturbed Love's Integral Equation

Published online by Cambridge University Press:  28 May 2015

Fu-Rong Lin ,
Xin Lu  and
Xiao-Qing Jin
Fu-Rong Lin*
Affiliation:
Department of Mathematics, Shantou University, Shantou, Guangdong, 515063, China
Xin Lu
Affiliation:
Department of Mathematics, Shantou University, Shantou, Guangdong, 515063, China
Xiao-Qing Jin*
Affiliation:
Department of Mathematics, University of Macau, Macao, China
*
Corresponding author. Email: [email protected]
Corresponding author. Email: [email protected]
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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.

Keywords

45L1065R20Love's integral equationsinc functionNyström methodDE-sinc quadrature
Type
Research Article
Information
East Asian Journal on Applied Mathematics , Volume 3 , Issue 1 , February 2013 , pp. 48 - 58
Copyright
Copyright © Global-Science Press 2013

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