@Article{EAJAM-6-448,
author = {Tian-Jun Wang, Chao Zhang and Qiong Zhang},
title = {Mixed Spectral Method for Heat Transfer Using Generalised Hermite Functions and Legendre Polynomials},
journal = {East Asian Journal on Applied Mathematics},
year = {2018},
volume = {6},
number = {4},
pages = {448--465},
abstract = {<p style="text-align: justify;">We propose a mixed spectral method for heat transfer in unbounded domains,
using generalised Hermite functions and Legendre polynomials. Some basic results
on the mixed generalised Hermite-Legendre orthogonal approximation are established,
which plays important roles in spectral methods for various problems defined on unbounded domains. As an example, the mixed generalised Hermite-Legendre spectral
scheme is constructed for anisotropic heat transfer. Its convergence is proven, and some
numerical results demonstrate the spectral accuracy of this approach.</p>},
issn = {2079-7370},
doi = {https://doi.org/10.4208/eajam.231015.240816a},
url = {http://global-sci.org/intro/article_detail/eajam/10812.html}
}