Solution of Blasius Equation by Adomian Decomposition Method and Differential Transform Method

Abstract

The efficient semi-numerical schemes combining the features of Adomian polynomials (ADM) and Differential Transform method have been presented to solve the well-known non-linear Blasius equation. A numerical method for solving two forms of Blasius equation is proposed. The Blasius equation is a third order nonlinear ordinary differential equation, which arises in the problem of the two-dimensional laminar viscous flow over a half-infinite domain. The approaches are based on differential transform method and Adomian Decomposition method. In these schemes, the solution takes the form of a convergent series with easily computable components. The obtained series solution is combined to handle the boundary condition at infinity for only one of these forms. The numerical results demonstrate the validity and applicability of the methods and a comparison is made with both the methods.