An approximate solution of the MHD Falkner-Skan flow by Hermite functions pseudospectral method
This provides an alternative numerical method for solving a specific class of boundary layer equations in fluid dynamics.
The authors used a Hermite functions pseudospectral method to solve the MHD Falkner-Skan flow equation on a semi-infinite domain, obtaining results that match numerical solutions without domain truncation.
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.