The Laguerre-Hermite spectral methods for the time-fractional sub-diffusion equations on unbounded domains
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Publication:2009053
DOI10.1007/s11075-018-00652-zzbMath1447.65103OpenAlexW2908039797MaRDI QIDQ2009053
Publication date: 27 November 2019
Published in: Numerical Algorithms (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11075-018-00652-z
unbounded domainspectral Galerkin methodHermite functionspectral collocation methodgeneralized associated Laguerre functionstime-fractional sub-diffusion equation
Fractional derivatives and integrals (26A33) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Fractional partial differential equations (35R11)
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