Approximate Solutions of the Jet Engine Vibration Equation by the Homotopy Perturbation Method-Reference-Cited by-同舟云学术

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

Published:2022-12-22 Issue: Volume:2022 Page:1-7
ISSN:1563-5147
Container-title:Mathematical Problems in Engineering
language:en
Short-container-title:Mathematical Problems in Engineering

Author:

Kawser M. Abul¹,Alim Md Abdul²^ORCID

Affiliation:

1. Department of Mathematics, Islamic University, Kushtia, Bangladesh

2. Department of Mathematics, Rajshahi University of Engineering & Technology, Rajshahi, Bangladesh

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.

Publisher

Hindawi Limited

Subject

General Engineering,General Mathematics

Link

http://downloads.hindawi.com/journals/mpe/2022/7042091.pdf

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