@Article{EAJAM-6-448, author = {}, 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 = {

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.

}, issn = {2079-7370}, doi = {https://doi.org/10.4208/eajam.231015.240816a}, url = {http://global-sci.org/intro/article_detail/eajam/10812.html} }