Analytic Approximate Solution for Falkner-Skan Equation

Analytic Approximate Solution for Falkner-Skan Equation

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 re...

New Approximate Analytical Solutions of the Falkner-Skan Equation

We propose an iterative method for solving the Falkner-Skan equation. The method provides approximate analytical solutions which consist of coefficients of the previous iterate solution. By some examples, we show that the presented method with a small number of iterations is competitive with the existing method such as Adomian decomposition method. Furthermore, to improve the accuracy of the pr...

Genetic Algorithm Approach for Solving the Falkner–Skan Equation

A novel method based on Genetic Algorithm to solve the boundary value problems (BVPs) of the Falkner–Skan equation over a semi-infinite interval has been presented. In our approach, we use the free boundary formulation to truncate the semi-infinite interval into a finite one. Then we use the shooting method based on Genetic Algorithm to transform the BVP into initial value problems (IVPs). Gene...

Analytic Solution for MHD Falkner-Skan Flow over a Porous Surface

Falskan: a Graphical User Interface for the Numerical Solution of the Falkner-skan Equation