A numerical technique for the solution of singular integral equations of the second kind

Authors:
G. R. Miller and L. M. Keer

Journal:
Quart. Appl. Math. **42** (1985), 455-465

MSC:
Primary 65R20

DOI:
https://doi.org/10.1090/qam/766882

Correction:
Quart. Appl. Math. **43** (1985), 127.

MathSciNet review:
766882

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Abstract | References | Similar Articles | Additional Information

Abstract: A numerical technique for the solution of singular integral equations of the second kind is presented. The technique extends the piecewise quadratic method used by Gerasoulis [6], to solve singular integral equations of the first kind. Quadrature formulae are derived in terms of infinite series and are used to reduce the integral equation to a set of linear algebraic equations. Two numerical examples are given, and the results are compared with exact solutions.

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DOI:
https://doi.org/10.1090/qam/766882

Article copyright:
© Copyright 1985
American Mathematical Society