| Status | 已发表Published |
| Title | Hermite spectral collocation methods for fractional PDEs in unbounded domains |
| Creator | |
| Date Issued | 2018 |
| Source Publication | Communications in Computational Physics
 |
| ISSN | 1815-2406 |
| Volume | 24Issue:4Pages:1143-1168 |
| Abstract | 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 |
| Keyword | Fractional PDEs Hermite polynomials/functions unbounded domain spectral collocation methods |
| DOI | 10.4208/cicp.2018.hh80.12 |
| URL | View source |
| Indexed By | SCIE |
| Language | 英语English |
| WOS Research Area | Physics |
| WOS Subject | Physics, Mathematical |
| WOS ID | WOS:000455957800010 |
| Citation statistics | |
| Document Type | Journal article |
| Identifier | http://repository.uic.edu.cn/handle/39GCC9TT/4769 |
| Collection | Research outside affiliated institution |
| Corresponding Author | Tang, Tao |
| Affiliation | 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 |
| 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. |
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