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 -

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.