Mixed spectral method for three-dimensional exterior problems using spherical harmonic and generalized Laguerre functions

DOI10.1016/j.cam.2007.07.023zbMath1144.65077OpenAlexW2076342422MaRDI QIDQ929929

Wei Zhang, Zhong-qing Wang, Ben-yu Guo

Publication date: 19 June 2008

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2007.07.023

zbMATH Keywords

mixed spherical harmonic-generalized Laguerre approximationthree-dimensional exterior problems

Mathematics Subject Classification ID

Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Degenerate elliptic equations (35J70)

Related Items (7)

Sobolev orthogonal Legendre rational spectral methods for exterior problems ⋮ Unnamed Item ⋮ An efficient Fourier-Laguerre spectral-Galerkin method for exterior problems of two-dimensional complex obstacles ⋮ Mixed Spectral Method for Heat Transfer Using Generalised Hermite Functions and Legendre Polynomials ⋮ Some progress in spectral methods ⋮ Spherical harmonic-generalized Laguerre pseudospectral method for three-dimensional exterior problems ⋮ Multi-domain decomposition pseudospectral method for nonlinear Fokker-Planck equations

Cites Work

• Spectral method for differential equations of degenerate type on unbounded domains by using generalized Laguerre functions
• The approach of solutions of nonlinear diffusion equations to travelling front solutions
• Laguerre-Galerkin method for nonlinear partial differential equations on a semi-infinite interval
• Spherical harmonic-generalized Laguerre spectral method for exterior problems
• Error estimation of Hermite spectral method for nonlinear partial differential equations
• Nystroem interpolants based on zeros of Laguerre polynomials for some Weiner-Hopf equations
• Spectral Elements on Infinite Domain
• Stable and Efficient Spectral Methods in Unbounded Domains Using Laguerre Functions
• A Spectral Method for the Vorticity Equation on the Surface
• Generalized Laguerre Interpolation and Pseudospectral Method for Unbounded Domains
• A new generalized Laguerre spectral approximation and its applications
• Lagrange interpolation at Laguerre zeros in some weighted uniform spaces
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