ON THE RELATED-EQUATION METHOD OF ASYMPTOTIC APPROXIMATION (W. K. B. or A-A METHOD)

1 August 1964

journal article
research article
Published by Oxford University Press (OUP) in The Quarterly Journal of Mechanics and Applied Mathematics

Vol. 17 (3) , 369-379
https://doi.org/10.1093/qjmam/17.3.369

Abstract

The rigorous application of the related-equation method to typical wave-penetration problems in physics is shown to rest upon an existence theorem discussed in part I of this paper (1). With the aid of this conjectured but as yet unproved theorem, results for two turning-point problems which have previously required matching or connexion techniques to derive are obtained by the direct application of the related-equation theory.

Keywords

PENETRATION
CONJECTURED
CONNEXION
UNPROVED
ASYMPTOTIC
WAVE
RELATED EQUATION METHOD