. An efficient numerical method is proposed for the solution of Love’s integral
f (x) +
(x − y)
2 + c
f ( y)d y = 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.
AMS subject classifications: 45L10, 65R20
Key words: Love’s integral equation, sinc function, Nyström method, DE-sinc quadrature.