Volume no :8, Issue no: 1, August (2012)

Journal of Pure and Applied Mathematics: Advances and Applications

FALSKAN: A GRAPHICAL USER INTERFACE FOR THE NUMERICAL SOLUTION OF THE FALKNER-SKAN EQUATION

Author's: GIACOMO FLORA and MUHAMMAD USMAN
Pages: [11] - [24]
Received Date: June 2, 2012
Submitted by:

Abstract

We develop a graphical user interface (GUI) to solve the Falkner-Skan equation. This famous nonlinear third order Falkner-Skan equation on infinite interval describes several fluid dynamic problems under varying the value of two constant coefficients. The developed GUI enables the user to input these two coefficients, which will characterize the behaviour of the corresponding solution, and the parameters necessary for the iterative methods used to solve the equation. The required parameters for the numerical solution are represented by the initial shooting angle, the initial free boundary and two tolerance criteria.

Keywords

Falkner-Skan equation, heat transfer, GUI interface, iterative method, Newton’s method, shooting method.