Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
519310 | Journal of Computational Physics | 2010 | 10 Pages |
Abstract
A numerical method based on sinc collocation approximation for a class of nonlinear weakly singular Volterra integral equations of a second kind with non-smooth solution is given. The numerical method given here combines a sinc collocation method with an explicit iterative process that involves solving a nonlinear system of equations. We provide an error analysis for the method. It is shown that the approximate solution converges to the exact solution at the rate of Mexp(-cM), where M is the number of collocation points and c is some positive constant. Some numerical results for several test functions are given to confirm the accuracy and the ease of implementation of the method.
Related Topics
Physical Sciences and Engineering
Computer Science
Computer Science Applications
Authors
Gholam-Ali Zakeri, Mitra Navab,