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Hermite Spectral Collocation Methods for Fractional PDEs in Unbounded Domains

文献类型：期刊论文

作者Tang, Tao1; Yuan, Huifang2; Zhou, Tao3
刊名COMMUNICATIONS IN COMPUTATIONAL PHYSICS
出版日期2018-10-01
卷号24期号:4页码:1143-1168
ISSN号1815-2406
关键词Fractional PDEs Hermite polynomials/functions unbounded domain spectral collocation methods
DOI10.4208/cicp.2018.hh80.12
英文摘要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.
资助项目Special Project on High-Performance Computing under the National Key RD Program[2016YFB0200604] ; National Natural Science Foundations of China[91630312] ; National Natural Science Foundations of China[91630203] ; National Natural Science Foundations of China[11571351] ; National Natural Science Foundations of China[11731006] ; National Natural Science Foundations of China[11688101] ; Hong Kong PhD Fellowship ; Science Challenge Project[TZ2018001] ; NCMIS ; Youth Innovation Promotion Association of CAS
WOS研究方向Physics
语种英语
出版者GLOBAL SCIENCE PRESS
WOS记录号WOS:000455957800010
源URL[http://ir.amss.ac.cn/handle/2S8OKBNM/32313]  
专题计算数学与科学工程计算研究所
通讯作者Tang, Tao
作者单位1.Southern Univ Sci & Technol, Dept Math, Shenzhen, Peoples R China
2.Hong Kong Baptist Univ, Dept Math, Hong Kong, Peoples R China
3.Chinese Acad Sci, Acad Math & Syst Sci, Inst Computat Math, LSEC, Beijing, Peoples R 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.

入库方式： OAI收割

来源：数学与系统科学研究院

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