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The solution of some transient differential equations by means of Green's functions

Published online by Cambridge University Press:  24 October 2008

A. G. Walters
A. G. Walters
Affiliation:
Research DepartmentRoyal ArsenalWoolwich
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Extract

A method is given for the solution of transient differential equations of the type

where D is a differential operator in one or more dimensions. These equations arise in vibrational problems and problems on the conduction of heat. Some examples on the application of the method are given.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 45 , Issue 1 , January 1949 , pp. 69 - 80
Copyright
Copyright © Cambridge Philosophical Society 1949

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References

REFERENCES

(1)Minnigerode, H.Über die Warmeleitung in Krystallen (Göttingen, 1862).Google Scholar
Carslaw, H. S.The conduction of heat, 2nd ed. (Macmillan, London), p. 169.Google Scholar
(2)Love, A. E. H.The mathematical theory of elasticity, 2nd ed. (Cambridge, 1906), p. 262.Google Scholar