ADI-Spectral Collocation Methods for Two-Dimensional Parabolic Equations
ADI-Spectral Collocation Methods for Two-Dimensional Parabolic Equations
复制标题
二维抛物型方程的 ADI 谱配置方法
DOI：
10.4208/eajam.300819.271019
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发表时间：
2020-06
影响因子：
1.2
通讯作者：
Zhong-qing Wang
中科院分区：
文献类型：
--
作者：
Dong-qin Gu;Chao Zhang;Zhong-qing Wang
研究了二维抛物型方程在有界域和无界域上的逆谱配置方法。空间离散采用谱配置格式，时间离散采用Crank-Nicolson ADI格式。数值结果表明，所提出的配置格式在求解高维时变问题时具有较高的稳定性和效率。AMS科目分类：65N35、65M70、41A05
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. AMS subject classifications: 65N35, 65M70, 41A05