Mixed Legendre-Hermite Pseudospectral Method for Heat Transfer in an Infinite Plate

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Abstract

A new mixed Legendre-Hermite interpolation is introduced. Some approximation results are established. Mixed Legendre-Hermite pseudospectral method is proposed for non-isotropic heat transfer in an infinite plate. Its convergence is proved. Numerical results show the efficiency of this approach.  

Keywords:

Non-isotropic heat transfer Infinite plate Mixed Legendre-Hermite pseudospectral method.
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Mixed Legendre-Hermite Pseudospectral Method for Heat Transfer in an Infinite Plate. (2021). Journal of Computational Mathematics, 23(6), 587-602. https://www.global-sci.com/index.php/JCM/article/view/11733