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A new technique for solving a class of strongly nonlinear oscillatory equations

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  • Alam, M. Shamsul
  • Huq, M. Ashraful
  • Hasan, M. Kamrul
  • Rahman, M. Saifur

Abstract

A new technique has been presented for solving strong nonlinear oscillatory problems. The solution is independent of trigonometric functions, and the determination of unknown coefficients related to the proposed solution is very simple. The method is illustrated by examples. For a large amplitude of oscillation of some nonlinear oscillators, the solution nicely agrees with the corresponding numerical solution.

Suggested Citation

  • Alam, M. Shamsul & Huq, M. Ashraful & Hasan, M. Kamrul & Rahman, M. Saifur, 2021. "A new technique for solving a class of strongly nonlinear oscillatory equations," Chaos, Solitons & Fractals, Elsevier, vol. 152(C).
    • Handle: RePEc:eee:chsofr:v:152:y:2021:i:c:s0960077921007165
    DOI: 10.1016/j.chaos.2021.111362
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    References listed on IDEAS

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    1. Brahim Benhammouda & Hector Vazquez-Leal & Luis Hernandez-Martinez, 2014. "Modified Differential Transform Method for Solving the Model of Pollution for a System of Lakes," Discrete Dynamics in Nature and Society, Hindawi, vol. 2014, pages 1-12, September.
    2. Beléndez, A. & Beléndez, T. & Márquez, A. & Neipp, C., 2008. "Application of He’s homotopy perturbation method to conservative truly nonlinear oscillators," Chaos, Solitons & Fractals, Elsevier, vol. 37(3), pages 770-780.
    3. Arikoglu, Aytac & Ozkol, Ibrahim, 2007. "Solution of fractional differential equations by using differential transform method," Chaos, Solitons & Fractals, Elsevier, vol. 34(5), pages 1473-1481.
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