Jacobi pseudo-spectral Galerkin method for second kind Volterra integro-differential equations with a weakly singular kernel

被引：0
|
作者：
Zhang, Xiaoyong [1 ]
Li, Junlin [2 ]
机构：
[1] Shanghai Maritime Univ, Coll Arts & Sci, Shanghai, Peoples R China
[2] Taiyuan Univ Sci & Technol, Taiyuan, Peoples R China
来源：
JOURNAL OF VIBROENGINEERING | 2014年 / 16卷 / 08期
基金：
中国国家自然科学基金;
关键词：
Volterra integro-differential equation; Jacobi pseudo-spectral method; weakly singular kernel; convergence; INTEGRAL-EQUATIONS; POLYNOMIAL-APPROXIMATION; COLLOCATION METHODS; SPECTRAL METHODS;
D O I：
暂无
中图分类号：
R318 [生物医学工程];
学科分类号：
0831 ;
摘要：
The Jacobi pseudo-spectral Galerkin method for the Volterra integro-differential equations of the second kind with a weakly singular kernel is proposed in this paper. We provide a rigorous error analysis for the proposed method, which indicates that the numerical errors (in the L-omega alpha,beta(2)-norm and the L-infinity-norm) will decay exponentially provided that the source function is sufficiently smooth. Numerical examples are given to illustrate the theoretical results.
引用
收藏
页码：3807 / 3826
页数：20
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