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

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  • Mohammad Ghoreishi
  • A. I. B. Md. Ismail
  • Abdur Rashid

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.

Suggested Citation

  • Mohammad Ghoreishi & A. I. B. Md. Ismail & Abdur Rashid, 2013. "On the Convergence of the Homotopy Analysis Method for Inner-Resonance of Tangent Nonlinear Cushioning Packaging System with Critical Components," Abstract and Applied Analysis, Hindawi, vol. 2013, pages 1-10, November.
    • Handle: RePEc:hin:jnlaaa:424510
    DOI: 10.1155/2013/424510
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    Cited by:

    1. Naik, Parvaiz Ahmad & Zu, Jian & Ghoreishi, Mohammad, 2020. "Estimating the approximate analytical solution of HIV viral dynamic model by using homotopy analysis method," Chaos, Solitons & Fractals, Elsevier, vol. 131(C).

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