School of Mathematics, Iran University of Science and Technology, Tehran, Iran
Abstract
In this paper, a spectral collocation approach based on the rational Chebyshev functions for solving the axisymmetric stagnation point flow on an infinite stationary circular cylinder is suggested. The Navier-Stokes equations which govern the flow, are changed to a boundary value problem with a semi-infinite domain and a third-order nonlinear ordinary differential equation by applying proper similarity transformations. The approach is named the rational Chebyshev collocation (RCC) method. This method reduces this nonlinear ordinary differential equation to an algebraic equations system. RCC method is a strong kind of the collocation technique to solve the problems of boundary value over a semi-infinite interval without truncating them to a finite domain. We also present the comparison of this work with others and show that the present method is more effective and precise.
Golbabai, A., & Samadpour, S. (2018). Rational Chebyshev Collocation approach in the solution of the axisymmetric stagnation flow on a circular cylinder. Computational Methods for Differential Equations, 6(4), 483-500.
MLA
Ahmad Golbabai; Sima Samadpour. "Rational Chebyshev Collocation approach in the solution of the axisymmetric stagnation flow on a circular cylinder". Computational Methods for Differential Equations, 6, 4, 2018, 483-500.
HARVARD
Golbabai, A., Samadpour, S. (2018). 'Rational Chebyshev Collocation approach in the solution of the axisymmetric stagnation flow on a circular cylinder', Computational Methods for Differential Equations, 6(4), pp. 483-500.
VANCOUVER
Golbabai, A., Samadpour, S. Rational Chebyshev Collocation approach in the solution of the axisymmetric stagnation flow on a circular cylinder. Computational Methods for Differential Equations, 2018; 6(4): 483-500.
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