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Solution of Blasius Equation by Variational Iteration

DOI: 10.5923/j.am.20110101.03

Keywords: Blasius Equation, He’s Variational Iteration Method, Nonlinear Ordinary Differential Equation, Matlab

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Abstract:

TheBlasius equation is a well known third-order nonlinear ordinary differential equation, which arises in certain 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 Adomian 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

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