Spectral methods using generalized Laguerre functions for second and fourth order problems

DOI10.1007/s11075-016-0228-2zbMath1385.65048OpenAlexW2543774931MaRDI QIDQ2407918

Hui-yuan Li, Fu-Jun Liu, Zhong-qing Wang

Publication date: 6 October 2017

Published in: Numerical Algorithms (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11075-016-0228-2

zbMATH Keywords

convergenceerror estimatesnumerical examplesboundary value problemslinear differential equationsspectral methodsgeneralized Laguerre functionsSobolev orthogonal basis functions

Mathematics Subject Classification ID

Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Boundary value problems for second-order elliptic equations (35J25) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Stability and convergence of numerical methods for ordinary differential equations (65L20) Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Error bounds for numerical methods for ordinary differential equations (65L70) Linear boundary value problems for ordinary differential equations (34B05)

Related Items (9)

Hermite–Sobolev orthogonal functions and spectral methods for second- and fourth-order problems on unbounded domains ⋮ Spectral method for multi-dimensional problems of high order on unbounded domains using generalized Laguerre functions ⋮ Numerical learning approximation of time-fractional sub diffusion model on a semi-infinite domain ⋮ Sobolev orthogonal Legendre rational spectral methods for exterior problems ⋮ Asymptotics of Sobolev orthogonal polynomials for Hermite (1,1)-coherent pairs ⋮ Diagonalized Legendre spectral methods using Sobolev orthogonal polynomials for elliptic boundary value problems ⋮ Spectral methods in space and time for parabolic problems on semi-infinite domains ⋮ Jacobi-Sobolev orthogonal polynomials and spectral methods for elliptic boundary value problems ⋮ Efficient Legendre dual-Petrov-Galerkin methods for odd-order differential equations

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