Mixed legendre-hermite spectral method for heat transfer in an infinite plate

Authors:
Ben-Yu Guo;Tian-Jun Wang
Affiliations:
-;-
Venue:
Computers & Mathematics with Applications
Year:
2006

Citing 2
Cited 1

Error estimation of Hermite spectral method for nonlinear partial differential equations

Mathematics of Computation
Combined Hermite spectral-finite difference method for the Fokker-Planck equation

Mathematics of Computation

Generalized Hermite Spectral Method and its Applications to Problems in Unbounded Domains

SIAM Journal on Numerical Analysis

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Abstract

Nonisotropic heat transfer in an infinite plate is considered. A weak formulation is derived, which is appropriate for its numerical simulation. The mixed Legendre-Hermite spectral method is proposed for this problem. Its convergence is proved. Numerical results show the efficiency of this new approach.