A note on the satisfaction of the boundary conditions for Chebyshev collocation methods in rectangular domains

DOI10.1007/BF01068122zbMath0751.65063OpenAlexW2013917538MaRDI QIDQ1182660

Andreas Karageorghis

Publication date: 28 June 1992

Published in: Journal of Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01068122

zbMATH Keywords

boundary conditionsbiharmonic equationPoisson equationChebyshev collocation methodsnumber of collocation points

Mathematics Subject Classification ID

Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Flows in porous media; filtration; seepage (76S05) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Biharmonic, polyharmonic functions and equations, Poisson's equation in two dimensions (31A30)

Related Items (9)

Satisfaction of boundary conditions for Chebyshev collocation methods in cuboidal domains ⋮ On the equivalence between basis recombination and boundary bordering formulations for spectral collocation methods in rectangular domains ⋮ A Chebyshev spectral collocation method for the computation of buoyancy- induced flows ⋮ A conforming spectral technique for biharmonic-type problems in rectangular domains ⋮ A spectral collocation method based on integrated Chebyshev polynomials for two-dimensional biharmonic boundary-value problems ⋮ On the use of an accurate implicit spectral approach for the telegraph equation in propagation of electrical signals ⋮ Weighted quasi-interpolant spline approximations: properties and applications ⋮ A fully conforming spectral collocation scheme for second- and fourth-order problems ⋮ Conforming Chebyshev spectral methods for Poisson problems in rectangular domains

Cites Work

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• Chebyshev pseudospectral method of viscous flows with corner singularities

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