On the implementation of discontinuous Galerkin methods forVolterra integral equations with highly oscillatory Bessel kernels

被引：19

作者：

Xiang, Shuhuang ^{[1
]}

He, Kaixian ^{[1
]}

机构：

[1] Cent S Univ, Dept Appl Math & Software, Changsha 410083, Hunan, Peoples R China

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2013年 / 219卷 / 09期

关键词：

Discontinuous Galerkin method; Bessel function; High oscillation; Volterra integral equation; Weak singularity; FILON-TYPE METHODS;

D O I：

10.1016/j.amc.2012.10.073

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we consider implementation of discontinuous Galerkin methods for (weakly singular) Volterra integral equations of first and second kinds with highly oscillatory Bessel kernels, which cost the same operations independent of large values of frequencies. Preliminary numerical results show that the proposed method is efficient for verifying accuracy of approximate solutions. (C) 2012 Elsevier Inc. All rights reserved.

引用

页码：4884 / 4891

页数：8

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