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Mixed Generalized Laguerre-Legendre Spectral Method for Heat Transfer in an Infinite Strip

Tian‐jun Wang, Yujian Jiao

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Abstract

In this paper, the mixed generalized Laguerre-Legendre spectral method is proposed for non-isotropic heat transfer in an infinite strip. A mixed Laguerre-Legendre spectral scheme is constructed. Numerical results show the efficiency of this approach. Some results on the mixed Laguerre-Legendre approximation and techniques used in this paper are also applicable to other problems in an infinite strip. We also develop a lifting technique, with which we could handle inhomogeneous boundary conditions easily.

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What this paper is about

In this paper, the mixed generalized Laguerre-Legendre spectral method is proposed for non-isotropic heat transfer in an infinite strip. A mixed Laguerre-Legendre spectral scheme is constructed. Numerical results show the efficiency of this approach. Some results on the mixed Laguerre-Legendre approximation and techniques used in this paper are also applicable to other problems in an infinite strip. We also develop a lifting technique, with which we could handle inhomogeneous boundary conditions easily.

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Available abstract

In this paper, the mixed generalized Laguerre-Legendre spectral method is proposed for non-isotropic heat transfer in an infinite strip. A mixed Laguerre-Legendre spectral scheme is constructed. Numerical results show the efficiency of this approach. Some results on the mixed Laguerre-Legendre approximation and techniques used in this paper are also applicable to other problems in an infinite strip. We also develop a lifting technique, with which we could handle inhomogeneous boundary conditions easily.

Key concepts: Legendre polynomials, Laguerre polynomials, Isotropy, Mathematics, Legendre wavelet, Laguerre's method, Mathematical analysis, Legendre function

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