Work

Integral transformation for nonlinear oscillators

Year: 2024

Type: article

Abstract: This paper introduces a generalized integral transform that encompasses the Laplace, Fourier, and numerous contemporary integral transforms as particular instances, while preserving their defining characteristics. Secondly, we propose the application of the generalized integral transform in the variational iteration method for the straightforward identification of the Lagrange multiplier, thus enabling the resolution of nonlinear oscillator problems. Finally, we present a series of illustrative examples to demonstrate the efficacy of this approach.

Source: Journal of low frequency noise, vibration and active control

DOI: 10.1177/14613484241286602

Authors: Xue-Chen Dong, Qiu-Yu Ou, Yi-Han Wu, Jiahui Yu

Institution: Hohhot Minzu College

Language: English

Topic: Fractional Differential Equations Solutions

Subfield: Modeling and Simulation

Field: Mathematics

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $2,500

Funders: Natural Science Foundation of Inner Mongolia, Research Program of Science and Technology at Universities of Inner Mongolia Autonomous Region