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Bernstein Polynomial Collocation Method for Acceleration Motion of a Vertically Falling Non-spherical Particle

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Advances in Fluid Dynamics

Part of the book series: Lecture Notes in Mechanical Engineering ((LNME))

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Abstract

This work deals with the falling of non-spherical particle in incompressible Newtonian media. The Bernstein polynomial collocation method (BPCM) is used to find out velocity and acceleration, and obtained results by BPCM are compared with variational iteration method (VIM), differential transform method (DTM), and the fourth-order Runge–Kutta method (RK-4). It is shown that this method gives a more accurate result when compared to the differential transform method, and the solution converges fast in comparison with VIM. Moreover, the use of BPCM is found to be simple, flexible, efficient, and computationally elegant.

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Acknowledgements

Sudhir Singh would like to thanks MHRD and the National Institute of Technology, Tiruchirappalli, India, for financial support through institute fellowship.

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Authors and Affiliations

  1. Department of Mathematics, National Institute of Technology, Tiruchirappalli, Tamil Nadu, India

    Sudhir Singh & K. Murugesan

Authors
  1. Sudhir Singh
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  2. K. Murugesan
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Corresponding author

Correspondence to K. Murugesan .

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Editors and Affiliations

  1. Vellore Institute of Technology, Vellore, Tamil Nadu, India

    B. Rushi Kumar

  2. Vellore Institute of Technology, Vellore, Tamil Nadu, India

    R. Sivaraj

  3. University of Botswana, Gaborone, Botswana

    J. Prakash

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Singh, S., Murugesan, K. (2021). Bernstein Polynomial Collocation Method for Acceleration Motion of a Vertically Falling Non-spherical Particle. In: Rushi Kumar, B., Sivaraj, R., Prakash, J. (eds) Advances in Fluid Dynamics. Lecture Notes in Mechanical Engineering. Springer, Singapore. https://doi.org/10.1007/978-981-15-4308-1_53

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  • DOI: https://doi.org/10.1007/978-981-15-4308-1_53

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  • Publisher Name: Springer, Singapore

  • Print ISBN: 978-981-15-4307-4

  • Online ISBN: 978-981-15-4308-1

  • eBook Packages: EngineeringEngineering (R0)

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