Numerical solution of an integral equation with a logarithmic kernel

descriptionPublicationkeyboard_double_arrow_right Article 01 Sep 1971 English Publisher:Springer Science and Business Media LLCJournal:BIT, volume 11, pages 276-287 (issn: 0006-3835, eissn: 1572-9125,

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Authors: Christiansen, Soren;

doi: 10.1007/bf01931809

Numerical solution of an integral equation with a logarithmic kernel

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Abstract

When formulating boundary value problems within different branches of mathematical physics, one encounters an integral equation whose kernel is equal to the logarithm of the distance between two points on a plane, closed, smooth, and simple curve. This equation can be replaced by a system of linear algebraic equations which can be solved numerically.

Related Organizations

Technical University of Denmark
Denmark

Keywords

Numerical methods for integral equations

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