Linearization method for solving nonlinear integral equations
type: Item
instance of: scholarly article
title: Linearization method for solving nonlinear integral equations
zbMATH Open document ID: 1200.65109
DOI: 10.1155/MPE/2006/73714
author: Parviz Darania
author: A. V. Oskoi
author: Ali Ebadian
published in: Mathematical Problems in Engineering
publication date: 2010-12-01T00:00:00Z
review text: Summary: The objective of this paper is to assess both the applicability and the accuracy of linearization method in several problems of general nonlinear integral equations. This method provides piecewise linear integral equations which can be easily integrated. It is shown that the accuracy of linearization method can be substantially improved by employing variable steps which adjust themselves to the solution. This approach can reveal that, under this method, the nonlinear integral equations can be transformed into the linear integral equations which may be integrated using classical methods. Numerical examples are used to illustrate the preciseness and effectiveness of the proposed method.
Mathematics Subject Classification ID: 65R20
Mathematics Subject Classification ID: 45D05
zbMATH DE Number: 5822532
MaRDI profile type: Publication
cites work: Implicitly linear collocation methods for nonlinear Volterra equations
cites work: A Hermite-Type Collocation Method for the Solution of an Integral Equation with a Certain Weakly Singular Kernel
cites work: Product integration methods for an integral equation with logarithmic singular kernel
cites work: A new modification of the Adomian decomposition method for linear and nonlinear operators
description: scientific article; zbMATH DE number 5822532