Title : ( An effective modification of He s variational iteration method )
Authors: Jafar Saberi- Nadjafi , Asghar Ghorbani ,Access to full-text not allowed by authors
Abstract
It is well known that one of the advantages of He s variational iteration method is the free choice of initial approximation. Therefore, in this paper, we use this advantage to propose a reliable modification of He s variational iteration method. Indeed, this constructs an initial trial-function without unknown parameters, which is called the modified variational iteration method. Some of the nonlinear and linear equations are examined by the modified method to illustrate the effectiveness and convenience of this method, and in all cases, the modified technique performed excellently. The results reveal that the proposed method is very effective and simple and gives exact solutions. The modification could lead to a promising approach for many applications in applied sciences.
Keywords
, Modified variational iteration method He s variational iteration method Ordinary differential equations Partial differential equations Integral equations Integro, differential equations@article{paperid:1009861,
author = {Saberi- Nadjafi, Jafar and Ghorbani, Asghar},
title = {An effective modification of He s variational iteration method},
journal = {Nonlinear Analysis: Real World Applications},
year = {2009},
number = {10},
month = {October},
issn = {1468-1218},
pages = {2828--2833},
numpages = {5},
keywords = {Modified variational iteration method
He s variational iteration method
Ordinary differential equations
Partial differential equations
Integral equations
Integro-differential equations},
}
%0 Journal Article
%T An effective modification of He s variational iteration method
%A Saberi- Nadjafi, Jafar
%A Ghorbani, Asghar
%J Nonlinear Analysis: Real World Applications
%@ 1468-1218
%D 2009