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A reliable hybrid numerical method for a time dependent vibration model of arbitrary order

  • Received: 15 October 2019 Accepted: 19 December 2019 Published: 08 January 2020
  • MSC : 35Q99, 44A99

  • In this article, the solution of vibration equation of fractional order is found numerically for the large membranes using a powerful technique namely q-homotopy analysis Sumudu transform technique. The parameter ħ suggests a convenient way to control convergence region. The given numerical examples depict competency and accuracy of this scheme. The results are discussed using figures taking diverse wave velocities and initial conditions. Results are also compared with other methods. The outcome divulges that q-HASTM is highly reliable, more efficient, attractive, easier to use as well as highly effective.

    Citation: Amit Prakash, Manish Goyal, Haci Mehmet Baskonus, Shivangi Gupta. A reliable hybrid numerical method for a time dependent vibration model of arbitrary order[J]. AIMS Mathematics, 2020, 5(2): 979-1000. doi: 10.3934/math.2020068

    Related Papers:

  • In this article, the solution of vibration equation of fractional order is found numerically for the large membranes using a powerful technique namely q-homotopy analysis Sumudu transform technique. The parameter ħ suggests a convenient way to control convergence region. The given numerical examples depict competency and accuracy of this scheme. The results are discussed using figures taking diverse wave velocities and initial conditions. Results are also compared with other methods. The outcome divulges that q-HASTM is highly reliable, more efficient, attractive, easier to use as well as highly effective.


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