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Erschienen in:

2021 | OriginalPaper | Buchkapitel

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

verfasst von : Sudhir Singh, K. Murugesan

Erschienen in: Advances in Fluid Dynamics

Verlag: Springer Singapore

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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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Titel: Bernstein Polynomial Collocation Method for Acceleration Motion of a Vertically Falling Non-spherical Particle
verfasst von: Sudhir Singh
K. Murugesan
Verlag: Springer Singapore
Buch: Advances in Fluid Dynamics
Print ISBN: 978-981-15-4307-4

Electronic ISBN: 978-981-15-4308-1

Copyright-Jahr: 2021
DOI: https://doi.org/10.1007/978-981-15-4308-1_53

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