TY - JOUR
T1 - Mixed Spectral Method for Heat Transfer Using Generalised Hermite Functions and Legendre Polynomials
AU - Tian-Jun Wang, Chao Zhang & Qiong Zhang
JO - East Asian Journal on Applied Mathematics
VL - 4
SP - 448
EP - 465
PY - 2018
DA - 2018/02
SN - 6
DO - http://doi.org/10.4208/eajam.231015.240816a
UR - https://global-sci.org/intro/article_detail/eajam/10812.html
KW - The scaled generalised Hermite functions, mixed spectral method, anisotropic heat transfer, unbounded domains.
AB - <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>