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Solution of a laminar boundary layer flow via a numerical method |
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| Authors: | K. Parand M. Shahini Mehdi Dehghan |
| Affiliation: | aDepartment of Computer Sciences, Shahid Beheshti University, Tehran, Iran;bDepartment of Applied Mathematics, Faculty of Mathematics and Computer Sciences, Amirkabir University of Technology, No. 424 Hafez Avenue, Tehran, Iran |
| Abstract: | In this paper, the numerical solution of the Blasius problem is obtained using the collocation method based on rational Chebyshev functions. The Blasius equation is a nonlinear ordinary differential equation which arises in the boundary layer flow. The method reduces solving the equation to solving a system of nonlinear algebraic equations. The results presented here demonstrate reliability and efficiency of the method. |
| Keywords: | Laminar boundary layer Blasius equation Rational Chebyshev functions Collocation method Nonlinear ODE Semi-infinite interval Spectral methods |
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