Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4639520 | Journal of Computational and Applied Mathematics | 2013 | 26 Pages |
Abstract
In this paper, we investigate new spectral and multidomain spectral methods for high order problems. We introduce a family of new generalized Laguerre functions, which are mutually orthogonal with the weight function xα(δ+x)−γxα(δ+x)−γ, δ>0δ>0,αα and γγ being arbitrary real numbers. The corresponding quasi-orthogonal approximation and Laguerre–Gauss–Radau type interpolation are proposed. The spectral and multidomain spectral schemes are provided for several model problems, which not only fit the mixed inhomogeneous boundary conditions on the fixed boundary exactly, but also match the asymptotic behaviors at infinity reasonably. Numerical results demonstrate the efficiency of suggested algorithms, and confirm the analysis well.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Ben-yu Guo, Chao Zhang,