Title
Pseudospectral method for non-isotropic heat transfer using mixed Hermite-Legendre interpolation.
Abstract
In this paper, we develop a new mixed pseudospectral method for heat transfer by using generalized Hermite functions and Legendre polynomials in unbounded domains. Fundamental to spectral methods for various unbounded-domain problems, we establish some basic results on the mixed generalized Hermite-Legendre interpolation. As an example, a new mixed generalized Hermite-Legendre pseudospectral scheme is provided for non-isotropic heat transfer. Its convergence is proved. Numerical results demonstrate the spectral accuracy of this approach.
Year
DOI
Venue
2019
10.1016/j.amc.2018.09.024
Applied Mathematics and Computation
Keywords
Field
DocType
The scaled generalized Hermite functions,Mixed pseudospectral method,Non-isotropic heat transfer,Unbounded domains
Convergence (routing),Isotropy,Mathematical analysis,Heat transfer,Interpolation,Legendre polynomials,Hermite polynomials,Spectral method,Mathematics,Pseudo-spectral method
Journal
Volume
ISSN
Citations 
343
0096-3003
0
PageRank 
References 
Authors
0.34
8
2
Name
Order
Citations
PageRank
Chao Zhang1939103.66
Tian-jun Wang200.34