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The Approximate Solution of Dual Integral Equations by Variational Methods

Published online by Cambridge University Press:  20 January 2009

B. Noble
B. Noble
Affiliation:
Department of Mathematics, The Royal College of Science and TechnologyGlasgow
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The classic application of dual integral equations occurs in connexion with the potential of a circular disc (e.g. Titchmarsh (9), p. 334). Suppose that the disc lies in z = 0, 0≤ρ≤1, where we use cylindrical coordinates (p, z). Then it is required to find a solution of

such that on z = 0

Separation of variables in conjunction with the conditions that ø is finite on the axis and ø tends to zero as z tends to plus infinity yields the particular solution .

Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 11 , Issue 2 , November 1958 , pp. 115 - 126
Copyright
Copyright © Edinburgh Mathematical Society 1958

References

REFERENCES

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