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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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Main Authors: | , , |
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Format: | Conference Proceeding |
Language: | English |
Subjects: | |
Online Access: | Get full text |
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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. |
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ISSN: | 0094-243X 1551-7616 |
DOI: | 10.1063/1.4902300 |