title: 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.
authors.affiliation: Department of Mechanics and Vibration, Politehnica University of Timi ș oara, 300222 Timi ș oara, Romania ; Department of Electromechanics and Vibration, Center for Advanced and Fundamental Technical Research, Romania Academy, 300223 Timi ș oara, Romania.
authors.forename: Vasile
authors.identifier: 0000-0002-0947-1322
authors.initials: V
authors.lastname: Marinca
authors.affiliation: Department of Mathematics, Politehnica University of Timi ș oara, 300006 Timi ș oara, Romania.
authors.forename: Remus-Daniel
authors.identifier: 0000-0002-1679-1498
authors.initials: RD
authors.lastname: Ene
authors.affiliation: Department of Applied Electronics, Politehnica University of Timi ș oara, 300223 Timi ș oara, Romania.
authors.forename: Bogdan
authors.initials: B
authors.lastname: Marinca
mesh_terms: D004548:Elasticity; D008433:Mathematics / Q000379:methods*; D008962:Models, Theoretical; D017711:Nonlinear Dynamics; D014783:Viscosity