Hermite spectral collocation methods for fractional PDEs in unbounded domains

doi:10.4208/cicp.2018.hh80.12

科研成果详情

发表状态	已发表Published
题名	Hermite spectral collocation methods for fractional PDEs in unbounded domains
作者	Tang, Tao1 ; Yuan, Huifang 2; Zhou, Tao 3
发表日期	2018
发表期刊	Communications in Computational Physics
ISSN/eISSN	1815-2406
卷号	24 期号:4 页码:1143-1168
摘要	This work is concerned with spectral collocation methods for fractional PDEs in unbounded domains. The method consists of expanding the solution with proper global basis functions and imposing collocation conditions on the Gauss-Hermite points. In this work, two Hermite-type functions are employed to serve as basis functions. Our main task is to find corresponding differentiation matrices which are computed recursively. Two important issues relevant to condition numbers and scaling factors will be discussed. Applications of the spectral collocation methods to multi-term fractional PDEs are also presented. Several numerical examples are carried out to demonstrate the effectiveness of the proposed methods
关键词	Fractional PDEs Hermite polynomials/functions unbounded domain spectral collocation methods
DOI	10.4208/cicp.2018.hh80.12
URL	查看来源
收录类别	SCIE
语种	英语English
WOS研究方向	Physics
WOS类目	Physics, Mathematical
WOS记录号	WOS:000455957800010
引用统计	被引频次：38[WOS] [WOS记录] [WOS相关记录]
文献类型	期刊论文
条目标识符	https://repository.uic.edu.cn/handle/39GCC9TT/4769
专题	个人在本单位外知识产出
通讯作者	Tang, Tao
作者单位	1.Department of Mathematics, Southern University of Sciences and Technology, Shenzhen, China; 2.Department of Mathematics, Hong Kong Baptist University, Hong Kong, China; 3.LSEC, Institute of Computational Mathematics, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing, China
推荐引用方式 GB/T 7714	Tang, Tao,Yuan, Huifang,Zhou, Tao. Hermite spectral collocation methods for fractional PDEs in unbounded domains[J]. Communications in Computational Physics, 2018, 24(4): 1143-1168.
APA	Tang, Tao, Yuan, Huifang, & Zhou, Tao. (2018). Hermite spectral collocation methods for fractional PDEs in unbounded domains. Communications in Computational Physics, 24(4), 1143-1168.
MLA	Tang, Tao,et al."Hermite spectral collocation methods for fractional PDEs in unbounded domains". Communications in Computational Physics 24.4(2018): 1143-1168.