Year: 2013
East Asian Journal on Applied Mathematics, Vol. 3 (2013), Iss. 1 : pp. 48–58
Abstract
An efficient numerical method is proposed for the solution of Love’s integral equation f(x)+1π∫1−1c(x−y)2+c2f(y)dy=1,x∈[−1,1] 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 f(x) of Love’s integral equation satisfies f(x)→0.5 for x∈(−1,1) when the parameter c→0. Numerical results show that the proposed method is very efficient.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/eajam.291112.220213a
East Asian Journal on Applied Mathematics, Vol. 3 (2013), Iss. 1 : pp. 48–58
Published online: 2013-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 11
Keywords: Love's integral equation sinc function Nyström method DE-sinc quadrature.
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