On the solution of the two-dimensional Helmholtz equation

DOI10.1063/1.526226zbMath0565.35022OpenAlexW1981223000MaRDI QIDQ3679566

Laxman Singh Kothari, G. Suresh Singh

Publication date: 1984

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.526226

zbMATH Keywords

annular regiontwo-dimensional Helmholtz equation

Mathematics Subject Classification ID

Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Geometric theory, characteristics, transformations in context of PDEs (35A30) Solutions to PDEs in closed form (35C05)

Related Items (4)

Configurational interference in boundary-value problems governed by the Helmholtz equation ⋮ Group-theoretic solution of the scalar wave equation in a multiply connected domain ⋮ Two-dimensional Helmholtz equation with zero Dirichlet boundary condition on a circle: Analytic results for boundary deformation, the transition disk-lens ⋮ Localization of travelling and standing waves in a circular membrane coupled to a continuous viscoelastic support

Cites Work

• Vibration of a membrane having a circular outer boundary and an eccentric circular inner boundary

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