DocumentCode
2685837
Title
Generalized Laguerre Spectral Method for General Boundary Condition Problems
Author
Zhang Xiao Yong ; Hong-li, Jia
Author_Institution
Dept. of Math., Shanghai Maritime Univ., Shanghai, China
fYear
2012
fDate
27-29 Oct. 2012
Firstpage
960
Lastpage
965
Abstract
In this paper, we investigate the generalized Laguerre approximation. Various orthogonal projections are established. As their important applications, we propose the generalized Laguerre spectral scheme for general boundary condition problems. The global convergence of proposed algorithms is proved. Numerical results demonstrate the spectral accuracy of these new approaches and coincide well with the theoretical analysis.
Keywords
approximation theory; convergence of numerical methods; differential equations; spectral analysis; general boundary condition problems; generalized Laguerre approximation; generalized Laguerre spectral method; global convergence; orthogonal projections; spectral accuracy; Accuracy; Boundary conditions; Chebyshev approximation; Convergence; Differential equations; Polynomials; Generalized Laguerre approximation; general boundary condition problems; spectral method;
fLanguage
English
Publisher
ieee
Conference_Titel
Computer and Information Technology (CIT), 2012 IEEE 12th International Conference on
Conference_Location
Chengdu
Print_ISBN
978-1-4673-4873-7
Type
conf
DOI
10.1109/CIT.2012.196
Filename
6392033
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