Details

Autor(en) / Beteiligte

• Zhang, Chao
• Wang, Tian-jun

Titel

Pseudospectral method for non-isotropic heat transfer using mixed Hermite-Legendre interpolation

Ist Teil von

• Applied mathematics and computation, 2019-02, Vol.343, p.328-341

Ort / Verlag

Elsevier Inc

Erscheinungsjahr

2019

Quelle

Alma/SFX Local Collection

Beschreibungen/Notizen

• 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.