Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4641214 | Journal of Computational and Applied Mathematics | 2009 | 8 Pages |
Abstract
In this paper a class of weakly singular Volterra integral equations with an infinite set of solutions is investigated. Among the set of solutions only one particular solution is smooth and all others are singular at the origin. The numerical solution of this class of equations has been a difficult topic to analyze and has received much previous investigation. The aim of this paper is to improve the convergence rates by a graded mesh method. The convergence rates are proved and a variety of numerical examples are provided to support the theoretical findings.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Jingtang Ma, Yingjun Jiang,