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

Chao Zhang and Tian-jun Wang

Applied Mathematics and Computation, 2019, vol. 343, issue C, 328-341

Abstract: 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.

Keywords: The scaled generalized Hermite functions; Mixed pseudospectral method; Non-isotropic heat transfer; Unbounded domains (search for similar items in EconPapers)
Date: 2019
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:343:y:2019:i:c:p:328-341

DOI: 10.1016/j.amc.2018.09.024

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