Title : ( An adaptive spectral variational iteration method for solving nonlinear initial value problems )
Authors: Asghar Ghorbani , Jafar Saberi- Nadjafi , Mortaza Gachpazan ,
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Abstract
The successive iterations of the variational iteration method (VIM) in solving nonlinear initial value problems (NIVPs) may be very complex so that the resulting integrals in its iterative relation may not be performed analytically. In order to completely eliminate this restriction, in this paper, an adaptive spectral VIM is proposed for solving the NIVPs. The obtained results here demonstrate excellent performance of this algorithm.
Keywords
Variational iteration method; Spectral collocation; Nonlinear initial value problems
@article{paperid:1036511,
author = {Ghorbani, Asghar and Saberi- Nadjafi, Jafar and Gachpazan, Mortaza},
title = {An adaptive spectral variational iteration method for solving nonlinear initial value problems},
journal = {Nonlinear Science Letters A: Mathematics, Physics and Mechanics},
year = {2012},
volume = {3},
number = {2},
month = {June},
issn = {2076-2275},
pages = {95--101},
numpages = {6},
keywords = {Variational iteration method; Spectral collocation; Nonlinear initial value problems},
}
%0 Journal Article
%T An adaptive spectral variational iteration method for solving nonlinear initial value problems
%A Ghorbani, Asghar
%A Saberi- Nadjafi, Jafar
%A Gachpazan, Mortaza
%J Nonlinear Science Letters A: Mathematics, Physics and Mechanics
%@ 2076-2275
%D 2012
