Convergence of a variational iterative algorithm for nonlocal vibrations analysis of a nanotube conveying fluid

Autor: Olga Martin
Jazyk: angličtina
Rok vydání: 2023
Předmět:
Zdroj: Mathematical Modelling and Analysis, Vol 28, Iss 3 (2023)
Druh dokumentu: article
ISSN: 1392-6292
1648-3510
DOI: 10.3846/mma.2023.16620
Popis: The amplitudes of the forced oscillations of a nano-structure conveying fluid are the solutions of an inhomogeneous integral-differential system. This is solved by an easily accessible scheme based on the variational iteration method (VIM), Galerkin’s method and the Laplace transform techniques. The presented method is accompanied by the study of the convergence of the iterative process and of the errors. In the literature, the dynamic response of a viscoelastic nanotube conveying fluid is frequently obtained by an iterative method. This leads to the double convolution products, whose presence will be avoided in the new method proposed in this paper. Thus, the numerical results will be obtained much faster and more accurately.
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