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Mathematical Problems in Engineering
Volume 2013, Article ID 982859, 5 pages
Research Article

Application of Homotopy Perturbation Method with an Auxiliary Term for Nonlinear Dropping Equations Arisen in Polymer Packaging System

1Department of Packaging Engineering, Jiangnan University, Wuxi 214122, China
2Key Laboratory of Food Packaging Techniques and Safety of China National Packaging Corporation, Wuxi 214122, China

Received 6 February 2013; Revised 28 March 2013; Accepted 23 April 2013

Academic Editor: Dong Sun Lee

Copyright © 2013 Xiang Hong et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


The homotopy perturbation method (HPM) with an auxiliary term was applied to obtain approximate analytical solutions of polymer cushioning packaging system. The second-order solution of the equation of motion was obtained and compared with the numerical simulation solution solved by the Runge-Kutta algorithm. The results showed the high accuracy of this modified HPM with convenient calculation.