A modified global error minimization method for solving nonlinear Duffing-harmonic oscillators

In this paper, a third-order approximate solution of strongly nonlinear Duffing-harmonic oscillators is obtained by extending and improving an analytical technique called the global error minimization method (GEMM). We have made a comparison between our results, those obtained from the other analytical methods and the numerical solution. Consequently, we notice a better agreement with the numerical solution than other known analytical methods. The results are valid for both small and large oscillation amplitude. The obtained results demonstrate that the present method can be easily extended to strongly nonlinear problems, as indicated in the presented applications.

• Publication year

  2022

• Venue

  AIMS Mathematics

• Publication date

  Unknown publication date

• Fields of study

  Not labeled

• Identifiers
  DOI 10.3934/math.2023023
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  Open on Semantic Scholar

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  Semantic Scholar

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• No concepts are published for this paper.

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