A step variational iteration method for solving non-chaotic and chaotic systems

In this paper, a new reliable method called the step variational iteration method (SVIM) based on an adaptation of the variational iteration method (VIM) is presented to solve non-chaotic and chaotic systems. The SVIM uses the general Lagrange multipliers for constructing the correction functional f...

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Bibliographic Details
Main Authors: Yulita Molliq, R (Author), Noorani, M.S.M (Author), Ahmad, R.R (Author), Alomari, A.K (Author)
Format: Article
Language:English
Published: Universiti Kebangsaan Malaysia, 2013-03.
Online Access:Get fulltext
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100 1 0 |a Yulita Molliq, R  |e author 
700 1 0 |a Noorani, M.S.M.  |e author 
700 1 0 |a Ahmad, R.R.  |e author 
700 1 0 |a Alomari, A.K.  |e author 
245 0 0 |a A step variational iteration method for solving non-chaotic and chaotic systems 
260 |b Universiti Kebangsaan Malaysia,   |c 2013-03. 
856 |z Get fulltext  |u http://journalarticle.ukm.my/5978/1/11%2520R.%2520Yulita.pdf 
520 |a In this paper, a new reliable method called the step variational iteration method (SVIM) based on an adaptation of the variational iteration method (VIM) is presented to solve non-chaotic and chaotic systems. The SVIM uses the general Lagrange multipliers for constructing the correction functional for the problems. The SVIM yields a step analytical solution of the form of a rapidly convergent infinite power series with easily computable terms and obtain a good approximate solution for larger intervals. The accuracy of the presented solution obtained is in an excellent agreement with the previously published solutions. 
546 |a en