Numerical solution to the Falkner-Skan equation:a novel numerical approach through the new rational

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The new rational a-polynomials are used to solve the Falkner-Skan equa-tion.These polynomials are equipped with an auxiliary parameter.The approximated solution to the Falkner-Skan equation is obtained by the new rational a-polynomials with unknown coefficients.To find the unknown coefficients and the auxiliary parameter con-tained in the polynomials,the collocation method with Chebyshev-Gauss points is used.The numerical examples show the efficiency of this method.
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