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Approximate Solutions of the Jet Engine Vibration Equation by the Homotopy Perturbation Method

Author

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  • M. Abul Kawser
  • Md Abdul Alim
  • Marco Antonio Taneco Hern ndez

Abstract

In this paper, we consider the jet engine vibration system. With the help of the homotopy perturbation method (HPM), we solve the jet engine vibration (JEV) equation, which is a second-order nonlinear differential equation in the presence of damping and external forces. We compare the results with the corresponding numerical method to show the efficiency and reliability of this method. The findings demonstrate how well HPM works as a solution to these concerns, and it is anticipated that HPM will be used in a variety of new problems.

Suggested Citation

  • M. Abul Kawser & Md Abdul Alim & Marco Antonio Taneco Hern ndez, 2022. "Approximate Solutions of the Jet Engine Vibration Equation by the Homotopy Perturbation Method," Mathematical Problems in Engineering, Hindawi, vol. 2022, pages 1-7, December.
    • Handle: RePEc:hin:jnlmpe:7042091
    DOI: 10.1155/2022/7042091
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    Cited by:

    1. Alim, Md. Abdul & Kawser, M. Abul, 2023. "Illustration of the homotopy perturbation method to the modified nonlinear single degree of freedom system," Chaos, Solitons & Fractals, Elsevier, vol. 171(C).

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