Some recent numerical methods for solving nonlinear Hammerstein integral equations
type: Item
instance of: scholarly article
title: Some recent numerical methods for solving nonlinear Hammerstein integral equations
zbMATH Open document ID: 0797.65112
DOI: 10.1016/0895-7177(93)90142-L
published in: Mathematical and Computer Modelling
publication date: 1994-10-09T00:00:00Z
review text: The author considers various numerical methods, namely, the Galerkin and collocation method and Adomian's decomposition method for the solutions of the problem \(x = H(x)\), where \(H\) is a nonlinear integral operator. He establishes the convergence of Adomian's method applied to the Hammerstein nonlinear integral equation \(\kappa(t) = y(t) + \int^ R_{-R} K(t,s) f(s,\kappa(s))ds\), \(R > 0\).
Mathematics Subject Classification ID: 65R20
Mathematics Subject Classification ID: 45G10
zbMATH DE Number: 571403
zbMATH Keywords: Galerkin method
zbMATH Keywords: collocation method
zbMATH Keywords: Adomian's decomposition method
zbMATH Keywords: nonlinear integral operator
zbMATH Keywords: convergence
zbMATH Keywords: Hammerstein nonlinear integral equation
author: Blaise Some
MaRDI profile type: Publication
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full work available at URL: 0895-7177(93)90142-l
OpenAlex ID: W2088324891
description: scientific article; zbMATH DE number 571403