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A unified boundary integral equation method for a class of second order elliptic boundary value problems

Published online by Cambridge University Press:  17 February 2009

M. Rezayat ,
F. J. Rizzo  and
D. J. Shippy
D. J. Shippy
Affiliation:
Department of Engineering Mechanics, University of Kentucky, Lexington, Kentucky 40506, U.S.A.
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Abstract

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A generalized integral equation formulation and a systematic numerical solution procedure are presented for a class of boundary value problems governed by a general second-order differential equation of elliptic type. Diverse numerical examples include problems of plane-wave scattering, three-dimensional fluid flow, and plane heat transfer for a body with a moving flame boundary. The last example employs certain representation functions useful to increase solution effectiveness in problems with an isolated integrable singularity.

Type
Research Article
Information
The ANZIAM Journal , Volume 25 , Issue 4 , April 1984 , pp. 501 - 517
Copyright
Copyright © Australian Mathematical Society 1984

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