Year: 2020
Author: Dong-Qin Gu, Chao Zhang, Zhong-Qing Wang
East Asian Journal on Applied Mathematics, Vol. 10 (2020), Iss. 2 : pp. 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.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/eajam.300819.271019
East Asian Journal on Applied Mathematics, Vol. 10 (2020), Iss. 2 : pp. 399–419
Published online: 2020-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 21
Keywords: ADI-spectral collocation methods two-dimensional parabolic equations bounded and unbounded domains.