Separable Boundary‐Value Problems in Physics

DOI10.1002/9783527634927zbMath1228.35002OpenAlexW2492762135MaRDI QIDQ3003645

Lok C. Lew Yan Voon, Morten Willatzen

Publication date: 30 May 2011

Full work available at URL: https://doi.org/10.1002/9783527634927

zbMATH Keywords

Legendre functionsBessel functionselliptic integralsseparation of variablesMathieu functionsseparable orthogonal coordinate systems

Mathematics Subject Classification ID

Heat equation (35K05) Wave equation (35L05) Series solutions to PDEs (35C10) Schrödinger operator, Schrödinger equation (35J10) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Solutions to PDEs in closed form (35C05) Lamé, Mathieu, and spheroidal wave functions (33E10) Introductory exposition (textbooks, tutorial papers, etc.) pertaining to partial differential equations (35-01) Partial differential equations of mathematical physics and other areas of application (35Qxx) Hypergeometric functions (33Cxx)

Related Items (4)

The flexibility in choosing distinct Green’s functions for the boundary wall method: waveguides and billiards ⋮ Spectral collocation for multiparameter eigenvalue problems arising from separable boundary value problems ⋮ A Sylvester–Arnoldi type method for the generalized eigenvalue problem with two‐by‐two operator determinants ⋮ Strong curvature effects in Neumann wave problems

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