Singular 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 detail.
Singular integral equations on the interval / Rondoni, Lamberto; P. F., Zweifel; H., Frisch. - In: TRANSPORT THEORY AND STATISTICAL PHYSICS. - ISSN 0041-1450. - 22:4(1993), pp. 549-560. [10.1080/00411459308203828]
Singular integral equations on the interval
RONDONI, Lamberto;
1993
Abstract
Singular 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 detail.Pubblicazioni consigliate
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https://hdl.handle.net/11583/1658419
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