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Analytic approximate solution for Falkner-Skan equation.

ABSTRACT: 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.

SUBMITTER: Marinca V

PROVIDER: S-EPMC4032703 | biostudies-other | 2014

REPOSITORIES: biostudies-other

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