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Solution of Falkner-Skan equation with heat transfer using a Legendre collocation method

In this paper, we introduce a new spectral collocation method for solving the Falkner-Skan equation with heat transfer. The Falkner-Skan equation is a nonlinear third-order boundary value problem on semi-infinite domain. The properties of the Legendre polynomials are used to approximate an unknown f...

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Bibliographic Details
Main Authors: Allame, M, Maleki, M, Kajani, M T
Format: Conference Proceeding
Language:English
Subjects:
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Summary:In this paper, we introduce a new spectral collocation method for solving the Falkner-Skan equation with heat transfer. The Falkner-Skan equation is a nonlinear third-order boundary value problem on semi-infinite domain. The properties of the Legendre polynomials are used to approximate an unknown function and its integrals. Then the shifted Legendre-Gauss points are utilized as the collocation points to reduce the problem to the solution of an algebraic system. The results show that the proposed method delivers a solution with high accuracy and very rapid convergence. Comparisons with other methods in the literature demonstrate the applicability and accuracy of the proposed method.
ISSN:0094-243X
1551-7616
DOI:10.1063/1.4902300