Year: 2014
Journal of Computational Mathematics, Vol. 32 (2014), Iss. 4 : pp. 392–411
Abstract
In this paper, we investigate numerical methods for high order differential equations. We propose new spectral and spectral element methods for high order problems with mixed inhomogeneous boundary conditions, and prove their spectral accuracy by using the recent results on the Jacobi quasi-orthogonal approximation. Numerical results demonstrate the high accuracy of suggested algorithm, which also works well even for oscillating solutions.
Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/jcm.1403-m4373
Journal of Computational Mathematics, Vol. 32 (2014), Iss. 4 : pp. 392–411
Published online: 2014-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 20
Keywords: Spectral and spectral element methods High order problems with mixed inhomogeneous boundary conditions.