@Article{EAJAM-6-4,
author = {},
title = {Mixed Spectral Method for Heat Transfer Using Generalised Hermite Functions and Legendre Polynomials},
journal = {East Asian Journal on Applied Mathematics},
year = {2016},
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 = {https://global-sci.com/article/82763/mixed-spectral-method-for-heat-transfer-using-generalised-hermite-functions-and-legendre-polynomials}
}