A New Reconstruction of Variational Iteration Method and Its Application to Nonlinear Volterra Integrodifferential Equations

A New Reconstruction of Variational Iteration Method and Its Application to Nonlinear Volterra Integrodifferential Equations

We reconstruct the variational iteration method that we call, parametric iteration method (PIM). The purposed method was applied for solving nonlinear Volterra integrodifferential equations (NVIDEs). The solution process is illustrated by some examples. Comparisons are made between PIM and Adomian d...

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Main Authors: K. Maleknejad, M. Tamamgar
Format: Article
Language:English
Published: Hindawi Limited 2014-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2014/968242
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spelling doaj-8c8eaa240a7342e48f6d7555b53aeb832020-11-24T20:56:50ZengHindawi LimitedAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/968242968242A New Reconstruction of Variational Iteration Method and Its Application to Nonlinear Volterra Integrodifferential EquationsK. Maleknejad0M. Tamamgar1Department of Mathematics, Islamic Azad University, Karaj Branch, Karaj, IranDepartment of Mathematics, Islamic Azad University, Karaj Branch, Karaj, IranWe reconstruct the variational iteration method that we call, parametric iteration method (PIM). The purposed method was applied for solving nonlinear Volterra integrodifferential equations (NVIDEs). The solution process is illustrated by some examples. Comparisons are made between PIM and Adomian decomposition method (ADM). Also exact solution of the 3rd example is obtained. The results show the simplicity and efficiency of PIM. Also, the convergence of this method is studied in this work.http://dx.doi.org/10.1155/2014/968242
collection DOAJ
language English
format Article
sources DOAJ
author K. Maleknejad
M. Tamamgar
spellingShingle K. Maleknejad
M. Tamamgar
A New Reconstruction of Variational Iteration Method and Its Application to Nonlinear Volterra Integrodifferential Equations
Abstract and Applied Analysis
author_facet K. Maleknejad
M. Tamamgar
author_sort K. Maleknejad
title A New Reconstruction of Variational Iteration Method and Its Application to Nonlinear Volterra Integrodifferential Equations
title_short A New Reconstruction of Variational Iteration Method and Its Application to Nonlinear Volterra Integrodifferential Equations
title_full A New Reconstruction of Variational Iteration Method and Its Application to Nonlinear Volterra Integrodifferential Equations
title_fullStr A New Reconstruction of Variational Iteration Method and Its Application to Nonlinear Volterra Integrodifferential Equations
title_full_unstemmed A New Reconstruction of Variational Iteration Method and Its Application to Nonlinear Volterra Integrodifferential Equations
title_sort new reconstruction of variational iteration method and its application to nonlinear volterra integrodifferential equations
publisher Hindawi Limited
series Abstract and Applied Analysis
issn 1085-3375
1687-0409
publishDate 2014-01-01
description We reconstruct the variational iteration method that we call, parametric iteration method (PIM). The purposed method was applied for solving nonlinear Volterra integrodifferential equations (NVIDEs). The solution process is illustrated by some examples. Comparisons are made between PIM and Adomian decomposition method (ADM). Also exact solution of the 3rd example is obtained. The results show the simplicity and efficiency of PIM. Also, the convergence of this method is studied in this work.
url http://dx.doi.org/10.1155/2014/968242
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AT kmaleknejad newreconstructionofvariationaliterationmethodanditsapplicationtononlinearvolterraintegrodifferentialequations
AT mtamamgar newreconstructionofvariationaliterationmethodanditsapplicationtononlinearvolterraintegrodifferentialequations
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