Title of article
On the convergence rates of Filon methods for the solution of a Volterra integral equation with a highly oscillatory Bessel kernel
Author/Authors
Ma، نويسنده , , Junjie and Xiang، نويسنده , , Shuhuang and Kang، نويسنده , , Hongchao، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2013
Pages
7
From page
699
To page
705
Abstract
In this paper, based on the asymptotic property of the solution, we derive the corresponding convergence rates in terms of the frequency for the direct-Filon and linear continuous collocation methods, which solves an open problem in Brunner (2010) [1]. Numerical tests verify that the asymptotic orders obtained are optimal.
Keywords
Convergence , collocation method , Volterra integral equation , Filon method
Journal title
Applied Mathematics Letters
Serial Year
2013
Journal title
Applied Mathematics Letters
Record number
1528963
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