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The Approximate Calculation of Eigenvalues for Certain Second-Order Linear Differential Equations

Published online by Cambridge University Press:  04 July 2016

W. J. Goodey
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Extract

In a recent technical note, Squire discussed the approximate solution of certain second-order linear differential equations by the method attributed variously to Riccati, Madelung, Wentzel, Kramers and Brillouin (the W.K.B. method), and others. The problem of eigenvalues, frequently met with in this type of equation, does not, however, appear to have received much attention by this method, and in this note a simple formula is developed which appears to give excellent numerical results in many cases.

Type
Research Article
Information
The Aeronautical Journal , Volume 65 , Issue 605 , May 1961 , pp. 360
Copyright
Copyright © Royal Aeronautical Society 1961

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References

1.Squire, W. (1959). Approximate Solution of Linear Second Order Differential Equations. Journal of the Royal Aeronautical Society, Vol. 63, p. 368, June 1959.CrossRefGoogle Scholar
2.Jahnke, and Emde (1933). Tables of Functions. Second (revised) Edition, Teubner, Berlin, 1933.Google Scholar