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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Main Authors:	Yulita Molliq, R, Noorani, M.S.M., Ahmad, R.R., Alomari, A.K.
Format:	Article
Language:	English
Published:	Universiti Kebangsaan Malaysia 2013
Online Access:	http://journalarticle.ukm.my/5978/ http://journalarticle.ukm.my/5978/ http://journalarticle.ukm.my/5978/1/11%2520R.%2520Yulita.pdf

id	ukm-5978
recordtype	eprints
spelling	ukm-59782016-12-14T06:40:00Z http://journalarticle.ukm.my/5978/ A step variational iteration method for solving non-chaotic and chaotic systems Yulita Molliq, R Noorani, M.S.M. Ahmad, R.R. Alomari, A.K. 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. Universiti Kebangsaan Malaysia 2013-03 Article PeerReviewed application/pdf en http://journalarticle.ukm.my/5978/1/11%2520R.%2520Yulita.pdf Yulita Molliq, R and Noorani, M.S.M. and Ahmad, R.R. and Alomari, A.K. (2013) A step variational iteration method for solving non-chaotic and chaotic systems. Sains Malaysiana, 42 (3). 347 -358. ISSN 0126-6039 http://www.ukm.my/jsm/
repository_type	Digital Repository
institution_category	Local University
institution	Universiti Kebangasaan Malaysia
building	UKM Institutional Repository
collection	Online Access
language	English
description	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.
format	Article
author	Yulita Molliq, R Noorani, M.S.M. Ahmad, R.R. Alomari, A.K.
spellingShingle	Yulita Molliq, R Noorani, M.S.M. Ahmad, R.R. Alomari, A.K. A step variational iteration method for solving non-chaotic and chaotic systems
author_facet	Yulita Molliq, R Noorani, M.S.M. Ahmad, R.R. Alomari, A.K.
author_sort	Yulita Molliq, R
title	A step variational iteration method for solving non-chaotic and chaotic systems
title_short	A step variational iteration method for solving non-chaotic and chaotic systems
title_full	A step variational iteration method for solving non-chaotic and chaotic systems
title_fullStr	A step variational iteration method for solving non-chaotic and chaotic systems
title_full_unstemmed	A step variational iteration method for solving non-chaotic and chaotic systems
title_sort	step variational iteration method for solving non-chaotic and chaotic systems
publisher	Universiti Kebangsaan Malaysia
publishDate	2013
url	http://journalarticle.ukm.my/5978/ http://journalarticle.ukm.my/5978/ http://journalarticle.ukm.my/5978/1/11%2520R.%2520Yulita.pdf
first_indexed	2023-09-18T19:45:40Z
last_indexed	2023-09-18T19:45:40Z
_version_	1777405882628308992

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

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