An approximate solution of the MHD Falkner-Skan flow by Hermite functions pseudospectral method
Abstract
Based on a new approximation method, namely pseudospectral method, a solution for the three order nonlinear ordinary differential laminar boundary layer Falkner-Skan equation has been obtained on the semi-infinite domain. The proposed approach is equipped by the orthogonal Hermite functions that have perfect properties to achieve this goal. This method solves the problem on the semi-infinite domain without truncating it to a finite domain and transforming domain of the problem to a finite domain. In addition, this method reduces solution of the problem to solution of a system of algebraic equations. We also present the comparison of this work with numerical results and show that the present method is applicable.
Keywords
Cite
@article{arxiv.1008.2322,
title = {An approximate solution of the MHD Falkner-Skan flow by Hermite functions pseudospectral method},
author = {K. Parand and A. R. Rezaei and S. M. Ghaderi},
journal= {arXiv preprint arXiv:1008.2322},
year = {2010}
}
Comments
15 pages, 4 figures; Published online in the journal of "Communications in Nonlinear Science and Numerical Simulation"