A quintic spline collocation procedure for solving the Falkner-Skan boundary-layer equation

A quintic spline collocation method is used to numerically solve the Falkner-Skan similarity boundary-layer equation for a wide range of pressure gradient parameter, both favorable and adverse, and wall mass transfer, both injection and suction. Through proper choice of the parameter in a constant ratio interval variable-grid system, extremely accurate solutions are obtained with as few as seven grid points across the boundary layer. It is suggested that perhaps the method and grid system can be coupled to yield an optimal node distribution technique which will allow highly accurate solutions with few grid points and minimum discretion on the part of the user.