Solution of Blasius Equation by Variational Iteration

Abstract

TheBlasius equation is a well known third-order nonlinear ordinary differential equation, which arises in cer- tain boundary layer problems in the fluid dynamics. This paper presents a way of applying He"s variational iteration method to solve the Blasius equation. Approximate analytical solution is derived and compared to the results obtained from Ado- mian decomposition method. Comparisons show that the present method is accurate and the using of He"s method does accelerate the convergence of the power series. A robust and efficient algorithm is also programmed using Matlab based on the present approach, which can be easily employed to solve Blasius equation problems