The Optimal Homotopy Asymptotic Method for solving Blasius equation

摘要

Starting from the reality that many known methods fail in the attempt to obtain analytic solutions of Blasius-type equations, in this work, a new procedure namely Optimal Homotopy Asymptotic Method (OHAM) is proposed to obtain an explicit analytical solution of the Blasius problem. Comparison with Howarth’s numerical solution, as well as the obtained residual, reveals that the proposed method is highly accurate. This proves the validity and great potential of the proposed procedure (OHAM) as a new kind of powerful analytical tool for nonlinear problems.