Natural Vibrations of the Shallow Water Equation
R. D. Ortiz, A. M. Marin, J. A. Rodriguez
Journal of Advances in Mathematics and Computer Science · pp. 649–654 · Published 12 Jul 2013
10.9734/BJMCS/2013/4465Abstract
The purpose of this paper is to construct the asymptotic for natural frequencies of the shallow water problem using the method of Wentzel-Kramers-Brillouin (WKB) and find the secular equation for the eigenvalues.
References (6)
- 1 Water Wave Mechanics for Engineers and Scientists [DOI]
- 2 The applied dynamics of ocean surface waves [DOI]
- 3 Shock-Capturing Methods for Free-Surface Shallow Flows
- 4 Asymptotic Analysis : Linear Ordinary Differential Equations
- 5 High-Precision Methods in Eigenvalue Problems and Their Applications [DOI]
- 6 Propagation of shallow water waves in an open parabolic channel using the WKB perturbation technique [DOI]
Cited by 1
S. Brenner · 2017
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