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

✍ Scribed by K. Parand; A.R. Rezaei; S.M. Ghaderi

• Publisher: Elsevier Science
• Year: 2011
• Tongue: English
• Weight: 504 KB
• Volume: 16
• Category: Article
• ISSN: 1007-5704
• DOI: 10.1016/j.cnsns.2010.03.022

✦ Synopsis

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.