A new generalized Laguerre spectral approximation and its applications

[摘要] 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. (c) 2005 Elsevier B.V. All rights reserved.

[发布日期] 2005-12-15

[关键词] new generalized Laguerre approximation;mixed spherical harmonic-generalized Laguerre spectral method