Article ID Journal Published Year Pages File Type
519310 Journal of Computational Physics 2010 10 Pages PDF
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
, ,