A finite-difference method for the Falkner-Skan equation

摘要

We present a finite-difference method for the solution of the Falkner-Skan equation. The method uses a coordinate transformation to map a semi-infinite physical domain to the unit interval [0, 1]. After using a suitable change of variables, the transformed third order boundary value problem for this domain is solved using a finite-difference scheme. The numerical solutions obtained by the present method are in agreement with those obtained by previous authors.