Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
9509457 | Journal of Computational and Applied Mathematics | 2005 | 22 Pages |
Abstract
A new family of generalized Laguerre polynomials is introduced. Various orthogonal projections are investigated. Some approximation results are established. As an example of their important applications, the mixed spherical harmonic-generalized Laguerre approximation is developed. A mixed spectral scheme is proposed for a three-dimensional model problem. Its convergence is proved. Numerical results demonstrate the high accuracy of this new spectral method.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Guo Ben-yu Guo Ben-yu, Zhang Xiao-yong Zhang Xiao-yong,