Numerical iteration for nonlinear oscillators by Elzaki transform-Reference-Cited by-同舟云学术

Numerical iteration for nonlinear oscillators by Elzaki transform

Published:2019-09-12 Issue:4 Volume:39 Page:879-884
ISSN:1461-3484
Container-title:Journal of Low Frequency Noise, Vibration and Active Control
language:en
Short-container-title:Journal of Low Frequency Noise, Vibration and Active Control

Author:

Anjum Naveed¹²³,Suleman Muhammad⁴⁵^ORCID,Lu Dianchen⁴,He Ji-Huan²^ORCID,Ramzan Muhammad⁶

Affiliation:

1. School of Mathematical Sciences, Soochow University, Suzhou, China

2. National Engineering Laboratory for Modern Silk, Soochow University, Suzhou, China

3. Department of Mathematics, Government College University, Faisalabad, Pakistan

4. Faculty of Science, Jiangsu University, Zhenjiang, China

5. Department of Mathematics, Comsats University, Islamabad, Pakistan

6. Department of Mathematics, Bahria University, Islamabad, Pakistan

Abstract

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.

Publisher

SAGE Publications

Subject

Mechanical Engineering,Geophysics,Mechanics of Materials,Acoustics and Ultrasonics,Building and Construction,Civil and Structural Engineering

Link

http://journals.sagepub.com/doi/pdf/10.1177/1461348419873470

Reference32 articles.

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