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...
Main Authors: | , |
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Format: | Article |
Language: | English |
Published: |
Islamic Azad University
2010-06-01
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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 |
first_indexed | 2024-12-14T09:53:51Z |
format | Article |
id | doaj.art-ec20241ee2484d1996ee101257802cdc |
institution | Directory Open Access Journal |
issn | 1735-8299 1735-8299 |
language | English |
last_indexed | 2024-12-14T09:53:51Z |
publishDate | 2010-06-01 |
publisher | Islamic Azad University |
record_format | Article |
series | Journal of Mathematical Extension |
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 |