Abstract and Applied Analysis

On the Convergence of the Homotopy Analysis Method for Inner-Resonance of Tangent Nonlinear Cushioning Packaging System with Critical Components

Mohammad Ghoreishi, A. I. B. Md. Ismail, and Abdur Rashid

Full-text: Open access

Abstract

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.

Article information

Source
Abstr. Appl. Anal., Volume 2013 (2013), Article ID 424510, 10 pages.

Dates
First available in Project Euclid: 27 February 2014

Permanent link to this document
https://projecteuclid.org/euclid.aaa/1393512116

Digital Object Identifier
doi:10.1155/2013/424510

Mathematical Reviews number (MathSciNet)
MR3126757

Zentralblatt MATH identifier
1291.34026

Citation

Ghoreishi, Mohammad; Ismail, A. I. B. Md.; Rashid, Abdur. On the Convergence of the Homotopy Analysis Method for Inner-Resonance of Tangent Nonlinear Cushioning Packaging System with Critical Components. Abstr. Appl. Anal. 2013 (2013), Article ID 424510, 10 pages. doi:10.1155/2013/424510. https://projecteuclid.org/euclid.aaa/1393512116


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