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• W2063017105 abstract "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." @default.
• W2063017105 created "2016-06-24" @default.
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• W2063017105 date "2014-01-01" @default.
• W2063017105 modified "2023-09-23" @default.
• W2063017105 title "Solution of Falkner-Skan equation with heat transfer using a Legendre collocation method" @default.
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• W2063017105 doi "https://doi.org/10.1063/1.4902300" @default.
• W2063017105 hasPublicationYear "2014" @default.
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