Solving Fluid Dynamical Problem as Blasius Equation Using Variational
Iteration Method With the Help of Padde Approximation Method
Abstract
Abstract : The Blasius equation is a well recognized third-order
nonlinear ordinary differential equation which arises in certain
boundary layer problems in the fluid dynamics. This article presents a
way of applying He’s variational iteration method to solve the Blasius
equation. Approximate analytical solution is derived with help of Padde
approximate method and compared to the numerical result obtained from
Adomian decomposition method.. Comparisons show that the present
technique is precise and the using of He’s method does accelerate the
convergence of the power series. And finally to see the behavior of that
solution a robust and efficient algorithm is also programmed using
Mathematica based on the present approach which can be easily employed
to solve Blasius equation problems.