An approximate solution of the MHD Falkner-Skan flow by Hermite functions pseudospectral method

Details An approximate solution of the MHD Falkner-Skan flow by Hermite functions pseudospectral method An approximate solution of the MHD Falkner-Skan flow by Hermite functions pseudospectral method

2010-08-13

arxiv.org/abs/1008.2322v2

Commun Nonlinear Sci Numer Simulat 16 (2011) 274-283

Physics

Mathematical Physics

15 pages, 4 figures; Published online in the journal of "Communications in Nonlinear Science and Numerical Simulation"

Scientific paper

10.1016/j.cnsns.2010.03.022

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.

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