Numerical iteration for nonlinear oscillators by Elzaki transform. Issue 4 (December 2020)

• Record Type: Journal Article
• Authors: Anjum, Naveed; Suleman, Muhammad; Lu, Dianchen; He, Ji-Huan; Ramzan, Muhammad
• Is Part Of: Journal of low frequency noise, vibration, and active control. Volume 39:Issue 4(2020)
• Page Start: 879
• Page End: 884
• Publication Date: 2020-12
• Subjects: Variational iteration method -- Lagrange multiplier -- Laplace transform -- Elzaki transform -- nonlinear oscillator; Vibration -- Periodicals; Noise -- Periodicals; Sound -- Periodicals; Damping (Mechanics) -- Periodicals; Damping (Mechanics); Noise; Sound; Vibration; Periodicals; 620.205
• DOI: 10.1177/1461348419873470
• Languages: English
• ISSNs: 1461-3484

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.