The use of Sinc-collocation method for solving Falkner–Skan boundary-layer equation

Authors

  • K. Parand,

    1. Department of Computer Sciences, Shahid Beheshti University, G.C. Tehran, Iran
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    • The first author (K. Parand) is member of research group of Scientific Computing.

  • Mehdi Dehghan,

    Corresponding author
    1. Department of Applied Mathematics, Faculty of Mathematics and Computer Science, Amirkabir University of Technology, No. 424, Hafez Avenue, Tehran, Iran
    • Department of Applied Mathematics, Faculty of Mathematics and Computer Science, Amirkabir University of Technology, No. 424, Hafez Avenue, Tehran, Iran
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  • A. Pirkhedri

    1. Department of Computer Science, Islamic Azad University Branch of Marivan, Marivan, Iran
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Abstract

The MHD Falkner–Skan equation arises in the study of laminar boundary layers exhibiting similarity on the semi-infinite domain. The proposed approach is equipped by the orthogonal Sinc functions that have perfect properties. This method solves the problem on the semi-infinite domain without truncating it to a finite domain and transforming domain of the problem to a finite domain. In addition, the governing partial differential equations are transformed into a system of ordinary differential equations using similarity variables, and then they are solved numerically by the Sinc-collocation method. It is shown that the Sinc-collocation method converges to the solution at an exponential rate. Copyright © 2010 John Wiley & Sons, Ltd.

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