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
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;
Conference_Titel :
Computer and Information Technology (CIT), 2012 IEEE 12th International Conference on
Conference_Location :
Chengdu
Print_ISBN :
978-1-4673-4873-7
DOI :
10.1109/CIT.2012.196
