Quadratically converging iterative schemes for nonlinear Volterra integral equations and an application
type: Item
instance of: scholarly article
title: Quadratically converging iterative schemes for nonlinear Volterra integral equations and an application
zbMATH Open document ID: 0881.45004
DOI: 10.1155/S1048953397000208
author: S. G Pandit
published in: Journal of Applied Mathematics and Stochastic Analysis
publication date: 1998-02-24T00:00:00Z
full work available at URL: https://eudml.org/doc/47799
review text: A generalized quasilinear technique is employed to derive iterative schemes for nonlinear Volterra integral equations under various monotonicity and convexity (concavity) conditions on the kernels. The iterates in the schemes are linear, and converge monotonically, uniformly and quadratically to the unique solution. An application to a boundary-layer theory problem and examples illustrating the results are presented.
Mathematics Subject Classification ID: 45G10
Mathematics Subject Classification ID: 45L05
Mathematics Subject Classification ID: 76D10
zbMATH DE Number: 1059847
zbMATH Keywords: iterative methods
zbMATH Keywords: quadratic convergence
zbMATH Keywords: quasilinear technique
zbMATH Keywords: nonlinear Volterra integral equations
zbMATH Keywords: monotonicity
zbMATH Keywords: convexity
zbMATH Keywords: boundary-layer theory
reviewed by: V. Lakshmikantham
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 1059847