Uniform approximations for the natural modes and frequencies of spindle- shaped acoustical resonators

DOI10.1016/0022-247X(88)90030-3zbMath0656.76071MaRDI QIDQ1110414

Christian Nwoke, Donatus Uzodinma Anyanwu

Publication date: 1988

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

wave propagationNeumann conditionuniform expansionnatural modesacoustical resonatorelongated acoustic bodiestwo-dimensional Laplace operator

Mathematics Subject Classification ID

Hydro- and aero-acoustics (76Q05) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Antennas, waveguides in optics and electromagnetic theory (78A50)

Related Items (3)

Uniform asymptotic solutions of boundary and eigenvalue problems for a second-order ordinary differential equation with singular and turning points ⋮ Uniform asymptotic solutions of second-order linear ordinary differential equations with singular points. I: Formal theory ⋮ Asymptotic (semiclassical) equivalence for Schrödinger equations with singular potentials and for related systems of two first-order equations

Cites Work

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• Uniform asymptotic solutions of boundary and eigenvalue problems for a second-order ordinary differential equation with singular and turning points
• Uniform asymptotic solutions of second-order linear ordinary differential equations with singular points. I: Formal theory
• Uniform asymptotic solutions of second-order linear ordinary differential equations with singular points. II: Some expansions
• Uniform asymptotic solutions for potential flow about a slender body of revolution
• Asymptotic solution of eigenvalue problems for second-order ordinary differential equations
• Asymptotic solution of higher-order differential equations with several turning points, and application to wave propagation in slowly varying waveguides
• Axially symmetric potential flow around a slender body

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