Gauss-type quadratures for weakly singular integrals and their application to Fredholm integral equations of the second kind

Kaneko, Hideaki; Xu, Yuesheng

doi:10.1090/S0025-5718-1994-1218345-X

Gauss-type quadratures for weakly singular integrals and their application to Fredholm integral equations of the second kind
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by Hideaki Kaneko and Yuesheng Xu PDF

Math. Comp. 62 (1994), 739-753 Request permission

Abstract:

In this paper we establish Gauss-type quadrature formulas for weakly singular integrals. An application of the quadrature scheme is given to obtain numerical solutions of the weakly singular Fredholm integral equation of the second kind. We call this method a discrete product-integration method since the weights involved in the standard product-integration method are computed numerically.

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