  In this paper, we have defined and applied a non-ITM to an extended Blasius
problem describing a 2D laminar boundary-layer with power-law viscosity for
Newtonian fluids. For a particular value of the parameter involved, this
problem reduces to the celebrated Blasius problem and in this particular case,
our method reduces to the T\"opfer non-iterative algorithm. In this case, we
are able to compare favourably the obtained numerical result for the so-called
missing initial condition with those available in the literature. Moreover, we
have listed the computed values of the missing initial condition for a large
range of the parameter involved, and for illustrative purposes, we have
plotted, for two values of the related parameter, the numerical solution
computed rescaling a reference solution.
