Generalized Hermite spectral method matching asymptotic behaviors

DOI10.1016/j.cam.2013.06.018zbMath1291.65251OpenAlexW2134367281MaRDI QIDQ2252734

Chao Zhang, Ben-yu Guo

Publication date: 23 July 2014

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.2013.06.018

zbMATH Keywords

spectral method on the whole linegeneralized Hermite orthogonal approximation and interpolation

Mathematics Subject Classification ID

Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60)

Related Items (12)

Mixed generalized Hermite-Fourier spectral method for Fokker-Planck equation of periodic field ⋮ A fully discrete pseudospectral method for the nonlinear Fokker-Planck equations on the whole line ⋮ Generalized Hermite spectral method matching different algebraic decay at infinities ⋮ New Rational Interpolation Basis Functions on the Unbounded Intervals and Their Applications ⋮ A Fully Discrete Spectral Method for Fisher’s Equation on the Whole Line ⋮ Mixed Spectral Method for Heat Transfer Using Generalised Hermite Functions and Legendre Polynomials ⋮ Some progress in spectral methods ⋮ On spectral methods for solving variable-order fractional integro-differential equations ⋮ Hermite spectral method for long-short wave equations ⋮ Pseudospectral method for non-isotropic heat transfer using mixed Hermite-Legendre interpolation ⋮ A fully discrete pseudospectral method for Fisher's equation on the whole line ⋮ Generalized Laguerre spectral method for Fisher's equation on a semi-infinite interval

Cites Work

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• Hermite pseudospectral method for nonlinear partial differential equations
• A stabilized Hermite spectral method for second‐order differential equations in unbounded domains
• Hermite Spectral Methods with a Time-Dependent Scaling for Parabolic Equations in Unbounded Domains

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