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Some axially symmetric potential problems

Published online by Cambridge University Press:  20 January 2009

F. G. Leppington  and
H. Levine
F. G. Leppington
Affiliation:
Imperial College, London, Stanford University, California
H. Levine
Affiliation:
Imperial College, London, Stanford University, California
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Abstract

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Some axially symmetric boundary value problems of potential theory are formulated as integral equations of the first kind. In each case the kernel admits an expansion, for small values of a parameter of the problem, that leads to an approximate integral equation whose solution provides a direct asymptotic estimate for the physical quantity of primary interest. A manipulation of the original and modified integral equations provides an efficient formula for calculating higher order terms in the asymptotic expansion.

Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 18 , Issue 1 , June 1972 , pp. 55 - 76
Copyright
Copyright © Edinburgh Mathematical Society 1972

References

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