@Article{EAJAM-3-48,
author = {Fu-Rong Lin, Xin Lu and Xiao-Qing Jin},
title = {Sinc Nyström Method for Singularly Perturbed Love’s Integral Equation},
journal = {East Asian Journal on Applied Mathematics},
year = {2018},
volume = {3},
number = {1},
pages = {48--58},
abstract = {<p>An efficient numerical method is proposed for the solution of Love’s integral
equation $$f (x) + \frac{1}{π}\int_{-1}^1 \frac{c}{(x-y)^2+c^2}&nbsp;f (y)dy = 1, x ∈ [−1, 1]$$ where $c&gt;0$ 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.&nbsp;</p>},
issn = {2079-7370},
doi = {https://doi.org/10.4208/eajam.291112.220213a},
url = {http://global-sci.org/intro/article_detail/eajam/10845.html}
}