Gauss-Type Quadratures for Weakly Singular Integrals and Their Application to Fredholm Integral Equations of the Second Kind

Authors

Hideaki Kaneko, Old Dominion UniversityFollow
Yuesheng Xu

Document Type

Article

Publication Date

1994

DOI

10.2307/2153534

Publication Title

Mathematics of Computation

Volume

62

Issue

206

Pages

739-753

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.

Comments

Web of Science: :Free full-text from publisher." ©1994 American Mathematical Society.

Original Publication Citation

Kaneko, H., & Xu, Y. S. (1994). Gauss-type quadratures for weakly singular integrals and their application to fredholm integral-equations of the second kind. Mathematics of Computation, 62(206), 739-753. doi:10.2307/2153534

Repository Citation

Kaneko, Hideaki and Xu, Yuesheng, "Gauss-Type Quadratures for Weakly Singular Integrals and Their Application to Fredholm Integral Equations of the Second Kind" (1994). Mathematics & Statistics Faculty Publications. 150.
https://digitalcommons.odu.edu/mathstat_fac_pubs/150