CSpace  > 计算数学与科学工程计算研究所
Hermite Spectral Collocation Methods for Fractional PDEs in Unbounded Domains
Tang, Tao1; Yuan, Huifang2; Zhou, Tao3
2018-10-01
Source PublicationCOMMUNICATIONS IN COMPUTATIONAL PHYSICS
ISSN1815-2406
Volume24Issue:4Pages:1143-1168
AbstractThis 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.
KeywordFractional PDEs Hermite polynomials/functions unbounded domain spectral collocation methods
DOI10.4208/cicp.2018.hh80.12
Language英语
Funding ProjectSpecial 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 Research AreaPhysics
WOS SubjectPhysics, Mathematical
WOS IDWOS:000455957800010
PublisherGLOBAL SCIENCE PRESS
Citation statistics
Cited Times:2[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/32314
Collection计算数学与科学工程计算研究所
Affiliation1.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
Recommended Citation
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.
Files in This Item:
There are no files associated with this item.
Related Services
Recommend this item
Bookmark
Usage statistics
Export to Endnote
Google Scholar
Similar articles in Google Scholar
[Tang, Tao]'s Articles
[Yuan, Huifang]'s Articles
[Zhou, Tao]'s Articles
Baidu academic
Similar articles in Baidu academic
[Tang, Tao]'s Articles
[Yuan, Huifang]'s Articles
[Zhou, Tao]'s Articles
Bing Scholar
Similar articles in Bing Scholar
[Tang, Tao]'s Articles
[Yuan, Huifang]'s Articles
[Zhou, Tao]'s Articles
Terms of Use
No data!
Social Bookmark/Share
All comments (0)
No comment.
 

Items in the repository are protected by copyright, with all rights reserved, unless otherwise indicated.