发表状态 | 已发表Published |
题名 | On spectral methods for Volterra integral equations and the convergence analysis |
作者 | |
发表日期 | 2008 |
发表期刊 | Journal of Computational Mathematics
![]() |
ISSN/eISSN | 0254-9409 |
卷号 | 26期号:6页码:825-837 |
摘要 | The main purpose of this work is to provide a novel numerical approach for the Volterra integral equations based on a spectral approach. A Legendre-collocation method is proposed to solve the Volterra integral equations of the second kind. We provide a rigorous error analysis for the proposed method, which indicates that the numerical errors decay exponentially provided that the kernel function and the source function are sufficiently smooth. Numerical results confirm the theoretical prediction of the exponential rate of convergence. The result in this work seems to be the first successful spectral approach (with theoretical justification) for the Volterra type equations. |
关键词 | Convergence analysis Legendre-spectral method Second kind Volterra integral equations |
URL | 查看来源 |
收录类别 | SCIE |
语种 | 英语English |
WOS研究方向 | Mathematics |
WOS类目 | Mathematics, Applied ; Mathematics |
WOS记录号 | WOS:000261217600004 |
Scopus入藏号 | 2-s2.0-57149087968 |
引用统计 | |
文献类型 | 期刊论文 |
条目标识符 | https://repository.uic.edu.cn/handle/39GCC9TT/1820 |
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, Hong Kong Baptist University, Kowloon Tong, Hong Kong 2.School of Mathematics, Fudan University, Shanghai 200433, China |
推荐引用方式 GB/T 7714 | Tang, Tao,Xu, Xiang,Cheng, Jin. On spectral methods for Volterra integral equations and the convergence analysis[J]. Journal of Computational Mathematics, 2008, 26(6): 825-837. |
APA | Tang, Tao, Xu, Xiang, & Cheng, Jin. (2008). On spectral methods for Volterra integral equations and the convergence analysis. Journal of Computational Mathematics, 26(6), 825-837. |
MLA | Tang, Tao,et al."On spectral methods for Volterra integral equations and the convergence analysis". Journal of Computational Mathematics 26.6(2008): 825-837. |
条目包含的文件 | 条目无相关文件。 |
个性服务 |
查看访问统计 |
谷歌学术 |
谷歌学术中相似的文章 |
[Tang, Tao]的文章 |
[Xu, Xiang]的文章 |
[Cheng, Jin]的文章 |
百度学术 |
百度学术中相似的文章 |
[Tang, Tao]的文章 |
[Xu, Xiang]的文章 |
[Cheng, Jin]的文章 |
必应学术 |
必应学术中相似的文章 |
[Tang, Tao]的文章 |
[Xu, Xiang]的文章 |
[Cheng, Jin]的文章 |
相关权益政策 |
暂无数据 |
收藏/分享 |
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。
修改评论