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Singular integral equations on closed contours. II
No full textSingular integral equations defined over closed contours in the complex plane were treated in a previous paper by a generalization of the orthogonality method introduced into transport theory by Kuščer, McCormick and Summerfield. In this paper, we show how in some cases the solutions described in the previous work may be evaluated analyticall
Singular integral equations on the interval
No full textSingular integral equations with Cauchy type kernels are considered on a real interval, and a new approach to the numerical construction of their solutions is proposed. In particular, analytical solutions are given, so that a direct numerical evaluation becomes possible. The case when the known term is expressed by a power series is analyzed in detai
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