Numerical Solutions for Weakly Singular Volterra Integral Equations Using Chebyshev and Legendre Pseudo-Spectral Galerkin Methods

doi:10.1007/s10915-015-0069-5

科研成果详情

发表状态	已发表Published
题名	Numerical Solutions for Weakly Singular Volterra Integral Equations Using Chebyshev and Legendre Pseudo-Spectral Galerkin Methods
作者	Li, Xianjuan 1; Tang, Tao2,3 ; Xu, Chuanju 4
发表日期	2016
发表期刊	Journal of Scientific Computing
ISSN/eISSN	0885-7474
卷号	67 期号:1 页码:43-64
摘要	In this paper we present and analyze Chebyshev and Legendre pseudo-spectral methods for the second kind Volterra integral equations with weakly singular kernel (Formula presented.). The proposed methods are based on the Gauss-type quadrature formula for approximating the integral operators involved in the equations. The present work is an extension of the earlier proposed spectral Jacobi–Galerkin method for the second kind Volterra integral equations with regular kernels (Xie et al. in J Sci Comput 53(2):414–434, [21]). A detailed convergence analysis is carried out, and several error estimates in (Formula presented.) and (Formula presented.) norms are obtained. Numerical examples are considered to verify the theoretical predictions. © 2015, Springer Science+Business Media New York.
DOI	10.1007/s10915-015-0069-5
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
WOS记录号	WOS:000374416400003
引用统计
文献类型	期刊论文
条目标识符	https://repository.uic.edu.cn/handle/39GCC9TT/1786
专题	个人在本单位外知识产出
通讯作者	Xu, Chuanju
作者单位	1.College of Mathematics and Computer Science, Fuzhou University, Fuzhou, 350108, China 2.Department of Mathematics & Institute for Computational and Theoretical Studies, Hong Kong Baptist University, Kowloon Tong, Hong Kong 3.Department of Mathematics, South University of Science and Technology, Shenzhen, 518055, China 4.School of Mathematical Sciences and Fujian Provincial Key Laboratory of Mathematical Modeling and High Performance Scientific Computing, Xiamen University, Xiamen, 361005, China
推荐引用方式 GB/T 7714	Li, Xianjuan,Tang, Tao,Xu, Chuanju. Numerical Solutions for Weakly Singular Volterra Integral Equations Using Chebyshev and Legendre Pseudo-Spectral Galerkin Methods[J]. Journal of Scientific Computing, 2016, 67(1): 43-64.
APA	Li, Xianjuan, Tang, Tao, & Xu, Chuanju. (2016). Numerical Solutions for Weakly Singular Volterra Integral Equations Using Chebyshev and Legendre Pseudo-Spectral Galerkin Methods. Journal of Scientific Computing, 67(1), 43-64.
MLA	Li, Xianjuan,et al."Numerical Solutions for Weakly Singular Volterra Integral Equations Using Chebyshev and Legendre Pseudo-Spectral Galerkin Methods". Journal of Scientific Computing 67.1(2016): 43-64.