Local error estimate of L1 scheme for linearized time fractional KdV equation with weakly singular solutions
文献类型：期刊论文
| 作者 | Chen, Hu4; Chen, Mengyi3; Sun, Tao2; Tang, Yifa1,3
|
| 刊名 | APPLIED NUMERICAL MATHEMATICS
 |
| 出版日期 | 2022-09-01 |
| 卷号 | 179页码:183-190 |
| 关键词 | L1 scheme Time-fractional KdV equation Local error estimate Weakly singular solution |
| ISSN号 | 0168-9274 |
| DOI | 10.1016/j.apnum.2022.04.021 |
| 英文摘要 | We consider the local error estimate of the L1 scheme on graded mesh for a linearized time fractional KdV equation with weakly singular solutions, where Legendre Petrov-Galerkin spectral method is used for the spatial discretization. Stability and convergence of the fully discrete scheme are rigorously established, and the pointwise-in-time error estimates are given to show that one can attain the optimal convergence order 2 - alpha in positive time by mildly choosing the grading parameter r no more than 2 for all 0 < alpha < 1. Numerical results are presented to show that the error estimate is sharp. (c) 2022 IMACS. Published by Elsevier B.V. All rights reserved. |
| 资助项目 | National Natural Science Foundation of China[11401380] ; National Natural Science Foundation of China[11801026] ; National Natural Science Foundation of China[12171141] ; National Natural Science Foundation of China[12171466] ; OUC Scientific Research Starting Fund of Introduced Talent |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000805840000001 |
| 出版者 | ELSEVIER |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/61520]  |
| 专题 | 计算数学与科学工程计算研究所 |
| 通讯作者 | Tang, Yifa |
| 作者单位 | 1.Chinese Acad Sci, Acad Math & Syst Sci, LSEC, ICMSEC, Beijing 100190, Peoples R China 2.Shanghai Lixin Univ Accounting & Finance, Sch Stat & Math, Shanghai 201209, Peoples R China 3.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China 4.Ocean Univ China, Sch Math Sci, Qingdao 266100, Peoples R China |
| 推荐引用方式 GB/T 7714 | Chen, Hu,Chen, Mengyi,Sun, Tao,et al. Local error estimate of L1 scheme for linearized time fractional KdV equation with weakly singular solutions[J]. APPLIED NUMERICAL MATHEMATICS,2022,179:183-190. |
| APA | Chen, Hu,Chen, Mengyi,Sun, Tao,&Tang, Yifa.(2022).Local error estimate of L1 scheme for linearized time fractional KdV equation with weakly singular solutions.APPLIED NUMERICAL MATHEMATICS,179,183-190. |
| MLA | Chen, Hu,et al."Local error estimate of L1 scheme for linearized time fractional KdV equation with weakly singular solutions".APPLIED NUMERICAL MATHEMATICS 179(2022):183-190. |
入库方式： OAI收割
来源：数学与系统科学研究院
浏览0
下载0
收藏0
其他版本
除非特别说明，本系统中所有内容都受版权保护，并保留所有权利。