TY - JOUR
T1 - Jacobi Pseudospectral Method for Fourth Order Problems
AU - Zheng-su Wan, Ben-yu Guo & Zhong-qing Wang
JO - Journal of Computational Mathematics
VL - 4
SP - 481
EP - 500
PY - 2006
DA - 2006/08
SN - 24
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/jcm/8769.html
KW - Jacobi pseudospectral method, Differential equations of fourth order, Singular problems.
AB - <p style="text-align: justify;">In this paper, we investigate Jacobi pseudospectral method for fourth order problems. We establish some basic results on the Jacobi-Gauss-type interpolations in non-uniformly weighted Sobolev spaces, which serve as important tools in analysis of numerical quadratures, and numerical methods of differential and integral equations. Then we propose Jacobi pseudospectral schemes for several singular problems and multiple-dimensional problems of fourth order. Numerical results demonstrate the spectral accuracy of these schemes, and coincide well with theoretical analysis.</p>