Numerical treatment of a Volterra integral equation with space maps
type: Item
instance of: scholarly article
title: Numerical treatment of a Volterra integral equation with space maps
zbMATH Open document ID: 1195.65222
author: M. Annunziato
author: E. Messina
published in: Applied Numerical Mathematics
publication date: 2010-06-25T00:00:00Z
review text: The authors consider integral equations of the type \[ y(x,t)=f(x,t)+\int_{0}^{t}k(t-\eta)y(g(x,t,\eta),\eta)d\eta\tag{1} \] The numerical method constructed here is inspired by some existing methods taken from the literature on Classical Volterra-Fredholm integral equations. The authors introduce their numerical method based on direct quadrature along time and interpolation for space. They authors investigate the basic qualitative properties and give the convergence and its performance on numerical experiments.
reviewed by: Seenith Sivasundaram
Mathematics Subject Classification ID: 65R20
Mathematics Subject Classification ID: 45D05
Mathematics Subject Classification ID: 45G10
zbMATH DE Number: 5726718
zbMATH Keywords: space map
zbMATH Keywords: nonlinear Volterra integral equations
zbMATH Keywords: direct quadrature
zbMATH Keywords: interpolation
zbMATH Keywords: convergence
zbMATH Keywords: performance
zbMATH Keywords: numerical experiments
MaRDI profile type: Publication
full work available at URL: j.apnum.2010.04.007
OpenAlex ID: W1980145423
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DOI: 10.1016/J.APNUM.2010.04.007
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description: scientific article; zbMATH DE number 5726718