On the Stability of Numerical Methods for Nonlinear Volterra Integral Equations

Here we investigate the behavior of the analytical and numerical solution of a nonlinear second kind Volterra integral equation where the linear part of the kernel has a constant sign and we provide conditions for the boundedness or decay of solutions and approximate solutions obtained by Volterra R...

Full description

Saved in:
Bibliographic Details
Main Authors: E. Messina, Y. Muroya, E. Russo, A. Vecchio
Format: Article
Language:English
Published: Wiley 2010-01-01
Series:Discrete Dynamics in Nature and Society
Online Access:http://dx.doi.org/10.1155/2010/862538
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:Here we investigate the behavior of the analytical and numerical solution of a nonlinear second kind Volterra integral equation where the linear part of the kernel has a constant sign and we provide conditions for the boundedness or decay of solutions and approximate solutions obtained by Volterra Runge-Kutta and Direct Quadrature methods.
ISSN:1026-0226
1607-887X