Title : ( Exact solutions of some types of Fredholm integral equations: He s VIM combined with finite series )
Authors: Jafar Saberi- Nadjafi , Asghar Ghorbani ,
Full TextAbstract
It is well known that one of the advantages of He’s variational iteration method is the free choice of initial approximation. From this advantage, in this paper, we construct a finite series solution with unknown parameters. Some types of the Fredholm integral equations are used to illustrate effectiveness and convenience of the method. A comparison is made between the He’s original VIM and the presented one. The results reveal that the proposed method is very effective and simple and gives the exact solution.
Keywords
, He’s variational iteration method, nonlinear and linear Fredholm integral equations, finite series.
@article{paperid:1033618,
author = {Saberi- Nadjafi, Jafar and Ghorbani, Asghar},
title = {Exact solutions of some types of Fredholm integral equations: He s VIM combined with finite series},
journal = {Applied Mathematical and Computational Sciences},
year = {2012},
volume = {4},
number = {2},
month = {October},
issn = {0976-1586},
pages = {117--130},
numpages = {13},
keywords = {He’s variational iteration method; nonlinear and linear Fredholm integral equations;
finite series.},
}
%0 Journal Article
%T Exact solutions of some types of Fredholm integral equations: He s VIM combined with finite series
%A Saberi- Nadjafi, Jafar
%A Ghorbani, Asghar
%J Applied Mathematical and Computational Sciences
%@ 0976-1586
%D 2012
