On the stability of numerical methods for nonlinear Volterra integral equations
type: Item
instance of: scholarly article
title: On the stability of numerical methods for nonlinear Volterra integral equations
zbMATH Open document ID: 1192.65162
DOI: 10.1155/2010/862538
published in: Discrete Dynamics in Nature and Society
publication date: 2010-06-29T00:00:00Z
full work available at URL: https://eudml.org/doc/223835
review text: Summary: 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.
Mathematics Subject Classification ID: 65R20
Mathematics Subject Classification ID: 45G10
zbMATH DE Number: 5728637
zbMATH Keywords: Volterra-Runge-Kutta method
zbMATH Keywords: nonlinear second kind Volterra integral equation
zbMATH Keywords: direct quadrature methods
Wikidata QID: Q58650657
author: E. Messina
author: Yoshiaki Muroya
author: Elvira Russo
author: Antonia Vecchio
MaRDI profile type: Publication
OpenAlex ID: W2008734320
cites work: The Qualitative Behavior of a Nonlinear Volterra Equation
cites work: On the Asymptotic Behavior of the Bounded Solutions of a Nonlinear Volterra Equation
cites work: Fast Runge-Kutta methods for nonlinear convolution systems of Volterra integral equations
cites work: Qualitative behaviour and stability of solutions of discretised nonlinear Volterra integral equations of convolution type
cites work: Q4955280
cites work: Numerical modelling of qualitative behaviour of solutions to convolution integral equations
cites work: Asymptotic behavior of solutions for nonlinear Volterra discrete equations
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description: scientific article; zbMATH DE number 5728637