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Mixed Pseudospectral Method for Heat Transfer

    Tian-Jun Wang Affiliation
    ; Tao Sun Affiliation

Abstract

In this paper, we propose a mixed generalized Laguerre-Legendre pseudospectral method for non-isotropic heat transfer with inhomogeneous boundary conditions on an infinite strip. Some properties about the mixed generalized LaguerreLegendre approximation are established. By reformulating the equation with suitable functional transform defined on an infinite strip, a mixed Laguerre-Legendre pseudospectral scheme is constructed. Its convergence is proved. Numerical results are presented to demonstrate the efficiency of this new approach and to validate our theoretical analysis.

Keyword : mixed Laguerre-Legendre approximation, pseudospectral method for heat transfer, inhomogeneous Dirichlet boundary condition, infinite strip

How to Cite
Wang, T.-J., & Sun, T. (2016). Mixed Pseudospectral Method for Heat Transfer. Mathematical Modelling and Analysis, 21(2), 199-219. https://doi.org/10.3846/13926292.2016.1146925
Published in Issue
Mar 18, 2016
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