Numerical iteration for nonlinear oscillators by Elzaki transform

Numerical iteration for nonlinear oscillators by Elzaki transform

Iteration methods are widely used in numerical simulation. This paper suggests the Elzaki transform in the variational iteration method for simple identification of the Lagrange multiplier. The Elzaki transform is a modification of the Laplace transform, and it is extremely useful for treating with...

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Main Authors: Naveed Anjum, Muhammad Suleman, Dianchen Lu, Ji-Huan He, Muhammad Ramzan
Format: Article
Language:English
Published: SAGE Publishing 2020-12-01
Series:Journal of Low Frequency Noise, Vibration and Active Control
Online Access:https://doi.org/10.1177/1461348419873470
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spelling doaj-f1cbdbcddf114be0bf958eb6a29c0a222020-12-10T04:05:11ZengSAGE PublishingJournal of Low Frequency Noise, Vibration and Active Control1461-34842048-40462020-12-013910.1177/1461348419873470Numerical iteration for nonlinear oscillators by Elzaki transformNaveed AnjumMuhammad SulemanDianchen LuJi-Huan HeMuhammad RamzanIteration methods are widely used in numerical simulation. This paper suggests the Elzaki transform in the variational iteration method for simple identification of the Lagrange multiplier. The Elzaki transform is a modification of the Laplace transform, and it is extremely useful for treating with nonlinear oscillators as illustrated in this paper, a single iteration leads to a high accuracy of the solution.https://doi.org/10.1177/1461348419873470
collection DOAJ
language English
format Article
sources DOAJ
author Naveed Anjum
Muhammad Suleman
Dianchen Lu
Ji-Huan He
Muhammad Ramzan
spellingShingle Naveed Anjum
Muhammad Suleman
Dianchen Lu
Ji-Huan He
Muhammad Ramzan
Numerical iteration for nonlinear oscillators by Elzaki transform
Journal of Low Frequency Noise, Vibration and Active Control
author_facet Naveed Anjum
Muhammad Suleman
Dianchen Lu
Ji-Huan He
Muhammad Ramzan
author_sort Naveed Anjum
title Numerical iteration for nonlinear oscillators by Elzaki transform
title_short Numerical iteration for nonlinear oscillators by Elzaki transform
title_full Numerical iteration for nonlinear oscillators by Elzaki transform
title_fullStr Numerical iteration for nonlinear oscillators by Elzaki transform
title_full_unstemmed Numerical iteration for nonlinear oscillators by Elzaki transform
title_sort numerical iteration for nonlinear oscillators by elzaki transform
publisher SAGE Publishing
series Journal of Low Frequency Noise, Vibration and Active Control
issn 1461-3484
2048-4046
publishDate 2020-12-01
description Iteration methods are widely used in numerical simulation. This paper suggests the Elzaki transform in the variational iteration method for simple identification of the Lagrange multiplier. The Elzaki transform is a modification of the Laplace transform, and it is extremely useful for treating with nonlinear oscillators as illustrated in this paper, a single iteration leads to a high accuracy of the solution.
url https://doi.org/10.1177/1461348419873470
work_keys_str_mv AT naveedanjum numericaliterationfornonlinearoscillatorsbyelzakitransform
AT muhammadsuleman numericaliterationfornonlinearoscillatorsbyelzakitransform
AT dianchenlu numericaliterationfornonlinearoscillatorsbyelzakitransform
AT jihuanhe numericaliterationfornonlinearoscillatorsbyelzakitransform
AT muhammadramzan numericaliterationfornonlinearoscillatorsbyelzakitransform
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