The Falkner-Skan equation is a nonlinear third-order boundary value problem defined on the semi-infinite interval [0,∞). This equation plays an important role to illustrate the main physical features of boundary layer phenomena. This paper presents a new collocation method for solving the Falkner-Skan equation. The proposed approach is equipped by the orthogonal Chebyshev polynomials that have perfect properties to achieve this goal. The shifted Chebyshev-Gauss points are utilized as collocation points. In addition, this method reduces solution of the problem to solution of a system of algebraic equations. Comparisons with other methods show that the proposed method is highly accurate and its convergence is very rapid.
کلید واژگان :Falkner-Skan equation, collocation method, shifted Chebyshev-Gauss points, semi-infinite domain
ارزش ریالی : 300000 ریال
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