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Mixed Spectral Method for Heat Transfer Using Generalised Hermite Functions and Legendre Polynomials

Mixed Spectral Method for Heat Transfer Using Generalised Hermite Functions and Legendre Polynomials
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Year:    2016

East Asian Journal on Applied Mathematics, Vol. 6 (2016), Iss. 4 : pp. 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.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.4208/eajam.231015.240816a

East Asian Journal on Applied Mathematics, Vol. 6 (2016), Iss. 4 : pp. 448–465

Published online:    2016-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    18

Keywords:    The scaled generalised Hermite functions mixed spectral method anisotropic heat transfer unbounded domains.

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