Title :
Generalized Laguerre Function-Generalized Hermite Function Mixed Approximation and Its Application
Author :
Xiao-yong Zhang ; Chaoluis, T. ; Jiang Hua Sui
Author_Institution :
Dept. of Math ematics, Shanghai Maritime Univ., Shanghai, China
Abstract :
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.
Keywords :
function approximation; heat conduction; function mixed approximation; generalized Hermite function; generalized Laguerre function; nonisotropic heat conduction equation; orthogonal projection; Argon; Eigenvalues and eigenfunctions; Function approximation; Interpolation; Polynomials; Reactive power; The generalized Laguerre-generalized Hermite function mixed approximation; generalized Laguerre generalized Hermite function mixed spectral method;
Conference_Titel :
Cyber-Enabled Distributed Computing and Knowledge Discovery (CyberC), 2011 International Conference on
Conference_Location :
Beijing
Print_ISBN :
978-1-4577-1827-4
DOI :
10.1109/CyberC.2011.102
