Polynomial Least Squares Method for the Solution of Nonlinear Volterra-Fredholm Integral Equations

Polynomial Least Squares Method for the Solution of Nonlinear Volterra-Fredholm Integral Equations

The present paper presents the application of the polynomial least squares method to nonlinear integral equations of the mixed Volterra-Fredholm type. For this type of equations, accurate approximate polynomial solutions are obtained in a straightforward manner and numerical examples are given to il...

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Main Authors: Bogdan Căruntu, Constantin Bota
Format: Article
Language:English
Published: Hindawi Limited 2014-01-01
Series:Mathematical Problems in Engineering
Online Access:http://dx.doi.org/10.1155/2014/147079
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spelling doaj-0fb11a6c4835477b961acd0aace4cfeb2020-11-24T22:33:33ZengHindawi LimitedMathematical Problems in Engineering1024-123X1563-51472014-01-01201410.1155/2014/147079147079Polynomial Least Squares Method for the Solution of Nonlinear Volterra-Fredholm Integral EquationsBogdan Căruntu0Constantin Bota1Department of Mathematics, “Politehnica” University of Timişoara, P-ta Victoriei 2, 300006 Timişoara, RomaniaDepartment of Mathematics, “Politehnica” University of Timişoara, P-ta Victoriei 2, 300006 Timişoara, RomaniaThe present paper presents the application of the polynomial least squares method to nonlinear integral equations of the mixed Volterra-Fredholm type. For this type of equations, accurate approximate polynomial solutions are obtained in a straightforward manner and numerical examples are given to illustrate the validity and the applicability of the method. A comparison with previous results is also presented and it emphasizes the accuracy of the method.http://dx.doi.org/10.1155/2014/147079
collection DOAJ
language English
format Article
sources DOAJ
author Bogdan Căruntu
Constantin Bota
spellingShingle Bogdan Căruntu
Constantin Bota
Polynomial Least Squares Method for the Solution of Nonlinear Volterra-Fredholm Integral Equations
Mathematical Problems in Engineering
author_facet Bogdan Căruntu
Constantin Bota
author_sort Bogdan Căruntu
title Polynomial Least Squares Method for the Solution of Nonlinear Volterra-Fredholm Integral Equations
title_short Polynomial Least Squares Method for the Solution of Nonlinear Volterra-Fredholm Integral Equations
title_full Polynomial Least Squares Method for the Solution of Nonlinear Volterra-Fredholm Integral Equations
title_fullStr Polynomial Least Squares Method for the Solution of Nonlinear Volterra-Fredholm Integral Equations
title_full_unstemmed Polynomial Least Squares Method for the Solution of Nonlinear Volterra-Fredholm Integral Equations
title_sort polynomial least squares method for the solution of nonlinear volterra-fredholm integral equations
publisher Hindawi Limited
series Mathematical Problems in Engineering
issn 1024-123X
1563-5147
publishDate 2014-01-01
description The present paper presents the application of the polynomial least squares method to nonlinear integral equations of the mixed Volterra-Fredholm type. For this type of equations, accurate approximate polynomial solutions are obtained in a straightforward manner and numerical examples are given to illustrate the validity and the applicability of the method. A comparison with previous results is also presented and it emphasizes the accuracy of the method.
url http://dx.doi.org/10.1155/2014/147079
work_keys_str_mv AT bogdancaruntu polynomialleastsquaresmethodforthesolutionofnonlinearvolterrafredholmintegralequations
AT constantinbota polynomialleastsquaresmethodforthesolutionofnonlinearvolterrafredholmintegralequations
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