DocumentCode
3112620
Title
A new generalized Laguerre function-generalized Hermite function mixed approximation and its application to nonlinear differential equation
Author
Xiaoyong, Zhang ; Hua, Sui Jiang
Author_Institution
Dept. of Math., Shanghai Maritime Univ., Shanghai, China
fYear
2011
fDate
26-28 March 2011
Firstpage
202
Lastpage
209
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 a two-dimensional nonlinear problem. Its convergence is proved. Numerical results demonstrate the high accuracy of this new spectral method.
Keywords
convergence; function approximation; nonlinear differential equations; stochastic processes; generalized Laguerre-generalized Hermite function mixed approximation; generalized Laguerre-generalized Hermite mixed spectral method; mixed approximation; nonlinear differential equation; orthogonal projection; two-dimensional nonlinear problem; Argon; Eigenvalues and eigenfunctions; Function approximation; Interpolation; Polynomials;
fLanguage
English
Publisher
ieee
Conference_Titel
Information Science and Technology (ICIST), 2011 International Conference on
Conference_Location
Nanjing
Print_ISBN
978-1-4244-9440-8
Type
conf
DOI
10.1109/ICIST.2011.5765238
Filename
5765238
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