Title | ||
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Pseudospectral method for non-isotropic heat transfer using mixed Hermite-Legendre interpolation. |
Abstract | ||
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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. |
Year | DOI | Venue |
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2019 | 10.1016/j.amc.2018.09.024 | Applied Mathematics and Computation |
Keywords | Field | DocType |
The scaled generalized Hermite functions,Mixed pseudospectral method,Non-isotropic heat transfer,Unbounded domains | Convergence (routing),Isotropy,Mathematical analysis,Heat transfer,Interpolation,Legendre polynomials,Hermite polynomials,Spectral method,Mathematics,Pseudo-spectral method | Journal |
Volume | ISSN | Citations |
343 | 0096-3003 | 0 |
PageRank | References | Authors |
0.34 | 8 | 2 |
Name | Order | Citations | PageRank |
---|---|---|---|
Chao Zhang | 1 | 939 | 103.66 |
Tian-jun Wang | 2 | 0 | 0.34 |