On the Convergence of the Homotopy Analysis Method for Inner-Resonance of Tangent Nonlinear Cushioning Packaging System with Critical Components
Author(s) -
Mohammad Ghoreishi,
A. I. B. MD. Ismail,
Abdur Rashid
Publication year - 2013
Publication title -
abstract and applied analysis
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.228
H-Index - 56
eISSN - 1687-0409
pISSN - 1085-3375
DOI - 10.1155/2013/424510
Subject(s) - cushioning , homotopy analysis method , convergence (economics) , tangent , series (stratigraphy) , nonlinear system , mathematics , homotopy , mathematical analysis , resonance (particle physics) , control theory (sociology) , computer science , physics , control (management) , engineering , geometry , structural engineering , pure mathematics , paleontology , particle physics , quantum mechanics , economics , biology , economic growth , artificial intelligence
Homotopy analysis method (HAM) is applied to obtain the approximate solution of inner-resonance of tangent cushioning packaging system based on critical components. The solution is obtained in the form of infinite series with components which can be easily calculated. Using a convergence-control parameter, the HAM utilizes a simple method to adjust and control the convergence region of the infinite series solution. The obtained results show that the HAM is a very accurate technique to obtain the approximate solution
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