@Article{EAJAM-10-399, author = {Gu , Dong-QinZhang , Chao and Wang , Zhong-Qing}, title = {ADI-Spectral Collocation Methods for Two-Dimensional Parabolic Equations}, journal = {East Asian Journal on Applied Mathematics}, year = {2020}, volume = {10}, number = {2}, pages = {399--419}, abstract = {

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.

}, issn = {2079-7370}, doi = {https://doi.org/10.4208/eajam.300819.271019 }, url = {http://global-sci.org/intro/article_detail/eajam/16133.html} }