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Complementary variational principles for φiv = f(φ)

Published online by Cambridge University Press:  24 October 2008

N. Anderson  and
A. M. Arthurs
N. Anderson
Affiliation:
University of York
A. M. Arthurs
Affiliation:
University of York
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Abstract

Complementary variational principles are developed for boundary-value problems with field equations φiv = f(φ) in (0, 1) subject to φ(0) = φ(1) = 0, φ′(0) = φ′(1) = 0. The theory is applied in the non-linear case f(φ) = – keφ and accurate variational solutions, which are simple polynomials in x, are obtained.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 68 , Issue 1 , July 1970 , pp. 173 - 177
Copyright
Copyright © Cambridge Philosophical Society 1970

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References

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