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On the approximate solution of one-dimensional singular integral equations of first kind

✍ Scribed by O. V. Poberezhnii

Publisher
Springer US
Year
1996
Tongue
English
Weight
216 KB
Volume
81
Category
Article
ISSN
1573-8795

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## Abstract An approximation method for a wide class of two‐dimensional integral equations is proposed. The method is based on using a special function system. Orthonormality and good interaction with fundamental integral operators arising in partial differential equations are remarkable properties

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An approximate method is developed for solving singular integral equations of the first kind, over a finite interval. The singularity is assumed to be of the Cauchy type, and the four basically different cases of singular integral equations of practical occurrence are dealt with simultaneously. The