Construction of an approximate solution of an integrodifferential equation
type: Item
instance of: scholarly article
title: Construction of an approximate solution of an integrodifferential equation
zbMATH Open document ID: 0621.65141
DOI: 10.1007/BF01060952
author: N. V. Matysina
author: Eh. A. Matysina
published in: Ukrainian Mathematical Journal
publication date: 1986-01-01T00:00:00Z
review text: For the numerical solution of an integro-differential equation of the form \[ y'+p(x)y=f(x)+\int^{x}_{a}K(x,t)y(t)dt;\quad y(a)=y_ 0, \] the authors propose a polygon like method. The convergence proof is based on the Arzelà-Ascoli lemma. A simple example is given.
reviewed by: Z.Schneider
Mathematics Subject Classification ID: 65R20
Mathematics Subject Classification ID: 45J05
zbMATH DE Number: 4007685
zbMATH Keywords: method of averaging functional corrections
zbMATH Keywords: Euler method
zbMATH Keywords: convergence
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 4007685