Abstract
In this paper the Sinc-collocation methods for integral equations of the second kind proposed by Rashidinia and Zarebnia in 2005 and 2007 are improved in the following two senses. 1) The Rashidinia-Zarebnia scheme is modified so that it can be implemented under more practical conditions. Then its convergence is proved in a rigorous manner. 2) A new scheme is developed by replacing the single exponential transformation in the Rashidinia-Zarebnia scheme with the double exponential transformation. Then it is shown both numerically and theoretically that the new scheme is far more accurate than the (modified) Rashidinia-Zarebnia scheme.
