Linearization method for solving nonlinear integral equations

Linearization method for solving nonlinear integral equations

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 linearizatio...

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Main Authors: P. Darania, A. Ebadian, A. V. Oskoi
Format: Article
Language:English
Published: Hindawi Limited 2006-01-01
Series:Mathematical Problems in Engineering
Online Access:http://dx.doi.org/10.1155/MPE/2006/73714
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spelling doaj-a9a5a46756634dd9924521fd2cc41cd62020-11-25T00:59:46ZengHindawi LimitedMathematical Problems in Engineering1024-123X1563-51472006-01-01200610.1155/MPE/2006/7371473714Linearization method for solving nonlinear integral equationsP. Darania0A. Ebadian1A. V. Oskoi2Department of Mathematics, Faculty of Science, Urmia University, Urmia P.O. Box 165, IranDepartment of Mathematics, Faculty of Science, Urmia University, Urmia P.O. Box 165, IranDepartment of Mathematics, Faculty of Science, Urmia University, Urmia P.O. Box 165, IranThe 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.http://dx.doi.org/10.1155/MPE/2006/73714
collection DOAJ
language English
format Article
sources DOAJ
author P. Darania
A. Ebadian
A. V. Oskoi
spellingShingle P. Darania
A. Ebadian
A. V. Oskoi
Linearization method for solving nonlinear integral equations
Mathematical Problems in Engineering
author_facet P. Darania
A. Ebadian
A. V. Oskoi
author_sort P. Darania
title Linearization method for solving nonlinear integral equations
title_short Linearization method for solving nonlinear integral equations
title_full Linearization method for solving nonlinear integral equations
title_fullStr Linearization method for solving nonlinear integral equations
title_full_unstemmed Linearization method for solving nonlinear integral equations
title_sort linearization method for solving nonlinear integral equations
publisher Hindawi Limited
series Mathematical Problems in Engineering
issn 1024-123X
1563-5147
publishDate 2006-01-01
description 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.
url http://dx.doi.org/10.1155/MPE/2006/73714
work_keys_str_mv AT pdarania linearizationmethodforsolvingnonlinearintegralequations
AT aebadian linearizationmethodforsolvingnonlinearintegralequations
AT avoskoi linearizationmethodforsolvingnonlinearintegralequations
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