广义拉盖尔函数-广义埃尔米特函数混合逼近及其应用

2011 International Conference on Cyber-Enabled Distributed Computing and Knowledge Discovery Pub Date : 2011-10-10 DOI:10.1109/CyberC.2011.102

Xiao-yong Zhang, T. Chaoluis, Jiang Hua Sui

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引用次数: 1

摘要

提出了广义laguerre -广义Hermite混合谱方法。研究了各种正交投影。建立了一些混合近似结果。以二维非各向同性热传导方程为例，提出了一种混合谱格式。证明了其收敛性。数值结果表明，该方法具有较高的精度。

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Generalized Laguerre Function-Generalized Hermite Function Mixed Approximation and Its Application

The generalized Laguerre-generalized Hermite mixed spectral method is developed. Various orthogonal projections are investigated. Some mixed approximation results are established. As an example of their important applications, a mixed spectral scheme is proposed for two-dimensional non-isotropic heat conduction equation. Its convergence is proved. Numerical results demonstrate the high accuracy of this new spectral method.

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2011 International Conference on Cyber-Enabled Distributed Computing and Knowledge Discovery

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