Analytic Approximate Solution for Falkner-Skan Equation

Abstract EN

This paper deals with the Falkner-Skan nonlinear differential equation.

An analytic approximate technique, namely, optimal homotopy asymptotic method (OHAM), is employed to propose a procedure to solve a boundary-layer problem.

Our method does not depend upon small parameters and provides us with a convenient way to optimally control the convergence of the approximate solutions.

The obtained results reveal that this procedure is very effective, simple, and accurate.

A very good agreement was found between our approximate results and numerical solutions, which prove that OHAM is very efficient in practice, ensuring a very rapid convergence after only one iteration.