Modified Laguerre pseudospectral method refined by multidomain Legendre pseudospectral approximation

DOI10.1016/J.CAM.2004.11.053zbMath1087.65079OpenAlexW2143234151MaRDI QIDQ818262

Li-Lian Wang, Ben-yu Guo

Publication date: 24 March 2006

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.2004.11.053

zbMATH Keywords

collocationLaguerre pseudospectral methodmultidomain Legendre approximation

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Linear boundary value problems for ordinary differential equations (34B05)

Related Items (7)

An operational matrix of fractional integration of the Laguerre polynomials and its application on a semi-infinite interval ⋮ A new modified generalized Laguerre operational matrix of fractional integration for solving fractional differential equations on the half line ⋮ On a generalized Laguerre operational matrix of fractional integration ⋮ Some progress in spectral methods ⋮ Hermite pesudospectral method and modified Hermite spectral method for long-short wave equations ⋮ Legendre-Laguerre coupled spectral element methods for second- and fourth-order equations on the half line ⋮ Efficient generalized Laguerre-spectral methods for solving multi-term fractional differential equations on the half line

Cites Work

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• Stair Laguerre pseudospectral method for differential equations on the half line
• Stable and Efficient Spectral Methods in Unbounded Domains Using Laguerre Functions
• Direct and Inverse Approximation Theorems for the p-Version of the Finite Element Method in the Framework of Weighted Besov Spaces. Part I: Approximability of Functions in the Weighted Besov Spaces
• Lagrange interpolation at Laguerre zeros in some weighted uniform spaces
• Jacobi interpolation approximations and their applications to singular differential equations

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