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Langer's method for a second order linear ordinary differential equation with a double pole

Published online by Cambridge University Press:  24 October 2008

Donatus Uzodinma Anyanwu
Donatus Uzodinma Anyanwu
Affiliation:
University of Nigeria, Nsukka
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Extract

If a second order ordinary differential equation has a simple or a double pole at a point zfl, then the standard Liouville-Green approximation could sometimes be valid near that point. In this paper we present an asymptotic series solution that is always valid near a double pole. A solution for that of a simple pole is also indicated. Asymptotic validity is proved.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 91 , Issue 1 , January 1982 , pp. 111 - 118
Copyright
Copyright © Cambridge Philosophical Society 1982

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References

REFERENCES

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