Nonlinear Integro-Differential Equations

. In this paper,the continuse Legendre wavelets constructed on the interval [0, 1] are used to solve the nonlinear Fredholm integrodifferential equation. The nonlinear part of integro-differential is approximated by Legendre wavelets, and the nonlinear integro-differential is reduced to a system...

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Main Authors: S. Mahdavi∗, M. Tavassoli Kajani
Format: Article
Language:English
Published: Islamic Azad University 2010-06-01
Series:Journal of Mathematical Extension
Online Access:http://ijmex.com/index.php/ijmex/article/view/64
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author S. Mahdavi∗
M. Tavassoli Kajani
author_facet S. Mahdavi∗
M. Tavassoli Kajani
author_sort S. Mahdavi∗
collection DOAJ
description . In this paper,the continuse Legendre wavelets constructed on the interval [0, 1] are used to solve the nonlinear Fredholm integrodifferential equation. The nonlinear part of integro-differential is approximated by Legendre wavelets, and the nonlinear integro-differential is reduced to a system of nonlinear equations. We give some numerical examples to show applicability of the proposed method
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spelling doaj.art-ec20241ee2484d1996ee101257802cdc2022-12-21T23:07:27ZengIslamic Azad UniversityJournal of Mathematical Extension1735-82991735-82992010-06-0142107117Nonlinear Integro-Differential EquationsS. Mahdavi∗0M. Tavassoli Kajani1Islamic Azad University, Khorasgan BranchIslamic Azad University, Khorasgan Branch. In this paper,the continuse Legendre wavelets constructed on the interval [0, 1] are used to solve the nonlinear Fredholm integrodifferential equation. The nonlinear part of integro-differential is approximated by Legendre wavelets, and the nonlinear integro-differential is reduced to a system of nonlinear equations. We give some numerical examples to show applicability of the proposed methodhttp://ijmex.com/index.php/ijmex/article/view/64
spellingShingle S. Mahdavi∗
M. Tavassoli Kajani
Nonlinear Integro-Differential Equations
Journal of Mathematical Extension
title Nonlinear Integro-Differential Equations
title_full Nonlinear Integro-Differential Equations
title_fullStr Nonlinear Integro-Differential Equations
title_full_unstemmed Nonlinear Integro-Differential Equations
title_short Nonlinear Integro-Differential Equations
title_sort nonlinear integro differential equations
url http://ijmex.com/index.php/ijmex/article/view/64
work_keys_str_mv AT smahdavi nonlinearintegrodifferentialequations
AT mtavassolikajani nonlinearintegrodifferentialequations