Analytic Approximate Solution for Falkner-Skan Equation

作者:Marinca Vasile; Ene Remus Daniel*; Marinca Bogdan
来源:The Scientific World Journal, 2014, 2014: 617453.
DOI:10.1155/2014/617453

摘要

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.

  • 出版日期2014