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The Dirichlet boundary value problem for two non-overlapping spheres

Published online by Cambridge University Press:  17 April 2009

Dieter K. Ross
Dieter K. Ross
Affiliation:
La Trobe University, Bundoora, Victoria.
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Abstract

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A new method is found for solving the general Dirichlet problem for two non-overlapping spheres of different radius. The expression for the external potential involves hypergeometric functions and is obtained from an infinite set of linear equations. In essence the method makes use of the fact that (I–A)–1 = I + A + A2 + A3 + …, where A belongs to a certain class of infinite matrices and I is the unit matrix.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 2 , Issue 2 , April 1970 , pp. 237 - 245
Copyright
Copyright © Australian Mathematical Society 1970

References

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