Analytical solutions for a Helmholtz equation with Dirichlet boundary conditions and arbitrary boundaries

DOI10.1016/0895-7177(96)00087-8zbMath0859.35017OpenAlexW2012065788MaRDI QIDQ1816632

W. W. Read

Publication date: 9 April 1997

Published in: Mathematical and Computer Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0895-7177(96)00087-8

zbMATH Keywords

eigenfunction expansionsnonorthogonal basis functions

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Series solutions to PDEs (35C10) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

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Cites Work

• Series solutions for Laplace's equation with nonhomogeneous mixed boundary conditions and irregular boundaries
• A comparison of analytic series methods for Laplacian free boundary problems
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