Motion of a spherical solid particle in Couette flow: exact solution vs. homotopy perturbation approximation with and without Pade approximants
Mathematical Physics
2012-09-18 v1 math.MP
Abstract
The motion of a spherical solid particle in plane Couette flow is governed by a linear problem that has a simple exact solution. As such, there is no need for an approximate analytical representation of the solution; specially when it is tedious, complicated, and requires hairy terms to give accurate results only at small or moderate values of the time.
Keywords
Cite
@article{arxiv.1209.3462,
title = {Motion of a spherical solid particle in Couette flow: exact solution vs. homotopy perturbation approximation with and without Pade approximants},
author = {Tarek M. A. El-Mistikawy},
journal= {arXiv preprint arXiv:1209.3462},
year = {2012}
}
Comments
An earlier version commenting on Reference [2] was submitted to Computers and Mathematics with Applications, but denied publication