Comparison betweenHomotopy perturbation and modified Adomian decomposition methods in simulating the effect of Van der Waals attraction in Nano structures instability

Amirbostaghi, Gholamhosein. and Khatibi, Sahar. and Keivani Hafshejani, Maryam. and Arad, Armin. (2012) Comparison betweenHomotopy perturbation and modified Adomian decomposition methods in simulating the effect of Van der Waals attraction in Nano structures instability. World Applied Sciences Journal, 18 (12). pp. 1813-1824.

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Abstract

In recent years, the instability of nano scale structures has become of great interest for scientists. In this work the ability of Homotopy perturbation and modified Adomian decomposition methods for modeling the effect of Van der Waals attraction in the nonlinear instability of cantilever and doublysupported Carbon Nano Tubes (CNT) based bio sensor and nano bio sensor is comparatively investigated. The critical value system deflection at the onset of the instability is computed as the basic parameter for sensor applications. It is found that using Homotopy perturbation method (HPM) in solving nano structures problems can lead to physically incorrect results. The values of the instability parameters computed by HPM series converge to the values which originally differ from those obtained by numerical methods. Even more, in the case of doubly-supported CNT or nano sensor, the conventional series diverge from numerical solution as the number of series terms increases. These shortcomings are not observed for modified Adomian series. © IDOSI Publications, 2012.

Item Type: Article
Additional Information: cited By
Uncontrolled Keywords: Bio sensor • nonlinear differential equation • homotopy perturbation • modified adomian decomposition • instability
Subjects: QT physiology > physics.mathematics.engineering
Divisions: Reserach Vice-Chancellar Department
Depositing User: Users 1 not found.
Date Deposited: 15 Aug 2017 07:27
Last Modified: 03 Feb 2018 10:43
URI: http://eprints.skums.ac.ir/id/eprint/3009

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