TY - JOUR
T1 - Spectral and Spectral Element Methods for High Order Problems with Mixed Boundary Conditions
JO - Journal of Computational Mathematics
VL - 4
SP - 392
EP - 411
PY - 2014
DA - 2014/08
SN - 32
DO - http://doi.org/10.4208/jcm.1403-m4373
UR - https://global-sci.org/intro/article_detail/jcm/9894.html
KW - Spectral and spectral element methods, High order problems with mixed
inhomogeneous boundary conditions.
AB - <p style="text-align: justify;">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.</p>