SEARCH

SEARCH BY CITATION

Keywords:

  • MHD Falkner–Skan equation;
  • Sinc functions;
  • collocation method;
  • nonlinear ODE;
  • semi-infinite

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.