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In this work, the modified Laplace Adomian decomposition method (LADM) is applied to solve the integro-differential equations. In addition, examples that illustrate the pertinent features of this method are presented, and the results of the study are discussed. We prove the convergence of LADM a...

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Main Author: J. Manafianheris
Format: Article
Language:English
Published: Islamic Azad University 2012-03-01
Series:Journal of Mathematical Extension
Online Access:http://ijmex.com/index.php/ijmex/article/view/96
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author J. Manafianheris
author_facet J. Manafianheris
author_sort J. Manafianheris
collection DOAJ
description In this work, the modified Laplace Adomian decomposition method (LADM) is applied to solve the integro-differential equations. In addition, examples that illustrate the pertinent features of this method are presented, and the results of the study are discussed. We prove the convergence of LADM applied to the integro-differential equations. Also, the results show that the introduced method is a powerful tool for solving the integro-differential equations.
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spelling doaj.art-89dbaa9ebf2047a4bb8c1845f462596e2022-12-22T00:08:43ZengIslamic Azad UniversityJournal of Mathematical Extension1735-82991735-82992012-03-01614155http://ijmex.com/index.php/ijmex/article/view/96J. Manafianheris0Islamic Azad University, Ahar BranchIn this work, the modified Laplace Adomian decomposition method (LADM) is applied to solve the integro-differential equations. In addition, examples that illustrate the pertinent features of this method are presented, and the results of the study are discussed. We prove the convergence of LADM applied to the integro-differential equations. Also, the results show that the introduced method is a powerful tool for solving the integro-differential equations.http://ijmex.com/index.php/ijmex/article/view/96
spellingShingle J. Manafianheris
http://ijmex.com/index.php/ijmex/article/view/96
Journal of Mathematical Extension
title http://ijmex.com/index.php/ijmex/article/view/96
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title_short http://ijmex.com/index.php/ijmex/article/view/96
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