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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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 |
work_keys_str_mv |
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