Jacobi spectral method for the second-kind Volterra integral equations with a weakly singular kernel

被引：17

作者：

Zhang Xiao-yong ^{[1
]}

机构：

[1] Shanghai Maritime Univ, Dept Math, Shanghai 201306, Peoples R China

来源：

APPLIED MATHEMATICAL MODELLING | 2015年 / 39卷 / 15期

关键词：

Volterra integral equation; Jacobi spectral Galerkin method; Weakly singular kernel; Convergence; POLYNOMIAL-APPROXIMATION;

D O I：

10.1016/j.apm.2014.12.046

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

The Jacobi spectral Galerkin method for Volterra integral 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 theoretical results. (C) 2014 Elsevier Inc. All rights reserved.

引用

页码：4421 / 4431

页数：11

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