Title :
Generalized Laguerre-Generalized Hermite Mixed Spectral Method
Author :
Xiao-yong, Zhang ; Jiao, Jiang ; Hua, Sui Jiang
Author_Institution :
Dept. of Math., 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 :
convergence; heat conduction; polynomial approximation; spectral analysis; stochastic processes; convergence; generalized laguerre-generalized hermite mixed spectral method; orthogonal projection; two-dimensional nonisotropic heat conduction equation; Accuracy; Heating; Interpolation; Mathematical model; Polynomials; The generalized Laguerre-generalized Hermite mixed approximation; generalized Laguerre-generalized Hermite mixed spectral method;
Conference_Titel :
Computational and Information Sciences (ICCIS), 2010 International Conference on
Conference_Location :
Chengdu
Print_ISBN :
978-1-4244-8814-8
Electronic_ISBN :
978-0-7695-4270-6
DOI :
10.1109/ICCIS.2010.350
