Accurate solution of three-dimensional Poisson's equation in cylindrical coordinate by expansion in Chebyshev polynomials

DOI10.1016/0021-9991(85)90108-1zbMath0584.65072OpenAlexW2001596240MaRDI QIDQ1069683

B. George

Publication date: 1985

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

Full work available at URL: https://doi.org/10.1016/0021-9991(85)90108-1

zbMATH Keywords

Helmholtz equationFourier seriesPoisson equationChebyshev series

Mathematics Subject Classification ID

Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

Related Items

A spectral collocation method for two-dimensional compressible convection, High order difference methods for heat equation in polar cylindrical coordinates, A pseudospectral method for solution of the three-dimensional incompressible Navier-Stoke equations, A computational method for solving the branched channel flow problem, A direct spectral collocation Poisson solver in polar and cylindrical coordinates, Comparing seven spectral methods for interpolation and for solving the Poisson equation in a disk: Zernike polynomials, Logan-Shepp ridge polynomials, Chebyshev-Fourier series, cylindrical Robert functions, Bessel-Fourier expansions, square-to-disk conformal mapping and radial basis functions

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