Publication Cover
Applicable Analysis
An International Journal
Volume 13, 1982 - Issue 1
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Original Articles

On two methods for elimination of non-unique solutions of an integral equation with logarithmic kernel/Footnote

Pages 1-18 | Received 01 Nov 1979, Published online: 02 May 2007
 

Abstract

Some integral equations of the first kind with logarithmic kernel are known to have a non-unique solution in some exceptional cases. The solution can be made unique by means of two known methods which are equivalent from the standpoint of mathematical physics. We here investigate which method is most suitable for the numerical solution of the integral equation in question. We conclude that the method of applying a certain supplementary condition combined with a certain geometrical scaling is preferable.

A Very short version of part of this paper bas been presented on April 18, 1979 at Scientific Meeting of “Gesellschaft für Angewandte Mathematik und Mechanik” (GAMM) [6].

A Very short version of part of this paper bas been presented on April 18, 1979 at Scientific Meeting of “Gesellschaft für Angewandte Mathematik und Mechanik” (GAMM) [6].

Notes

A Very short version of part of this paper bas been presented on April 18, 1979 at Scientific Meeting of “Gesellschaft für Angewandte Mathematik und Mechanik” (GAMM) [6].

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