TY - JOUR
T1 - ADI-Spectral Collocation Methods for Two-Dimensional Parabolic Equations
AU - Gu , Dong-Qin
AU - Zhang , Chao
AU - Wang , Zhong-Qing
JO - East Asian Journal on Applied Mathematics
VL - 2
SP - 399
EP - 419
PY - 2020
DA - 2020/04
SN - 10
DO - http://doi.org/10.4208/eajam.300819.271019 
UR - https://global-sci.org/intro/article_detail/eajam/16133.html
KW - ADI-spectral collocation methods, two-dimensional parabolic equations, bounded and unbounded domains.
AB - <p style="text-align: justify;">ADI-spectral collocation methods for two-dimensional parabolic equations on bounded and unbounded domains are studied. A spectral collocation scheme is adopted for spatial discretisation and the Crank-Nicolson ADI scheme is used for time discretisation. Numerical results show the stability and efficiency of the proposed collocation schemes in solving high-dimensional time-dependent problems.</p>