On the Stability of Numerical Methods for Nonlinear Volterra Integral Equations. (8th June 2010)

• Record Type: Journal Article
• Authors: Messina, E.; Muroya, Y.; Russo, E.; Vecchio, A.
• Other Names: De la Sen Manuel Academic Editor.
• Is Part Of: Discrete dynamics in nature and society. Volume 2010(2010)
• Publication Date: 2010-06-08
• Subjects: System analysis -- Periodicals; Dynamics -- Periodicals; Chaotic behavior in systems -- Periodicals; Differentiable dynamical systems -- Periodicals; 003.05
• DOI: 10.1155/2010/862538
• Languages: English
• ISSNs: 1026-0226

Abstract

Abstract : 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.