The first author (K. Parand) is member of research group of Scientific Computing.
The use of Sinc-collocation method for solving Falkner–Skan boundary-layer equation
Article first published online: 3 DEC 2010
Copyright © 2010 John Wiley & Sons, Ltd.
International Journal for Numerical Methods in Fluids
Volume 68, Issue 1, pages 36–47, 10 January 2012
How to Cite
Parand, K., Dehghan, M. and Pirkhedri, A. (2012), The use of Sinc-collocation method for solving Falkner–Skan boundary-layer equation. Int. J. Numer. Meth. Fluids, 68: 36–47. doi: 10.1002/fld.2493
- Issue published online: 21 DEC 2011
- Article first published online: 3 DEC 2010
- Manuscript Accepted: 10 OCT 2010
- Manuscript Revised: 20 SEP 2010
- Manuscript Received: 27 JAN 2010
- MHD Falkner–Skan equation;
- Sinc functions;
- collocation method;
- nonlinear ODE;
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.