In this paper, we define a non-iterative transformation method for
boundary-layer flows of non-Newtonian fluids past a flat plate. The
problem to be solved is an extended Blasius problem depending on a
parameter. This method allows us to solve numerically the extended
Blasius problem by solving a related initial value problem and then
rescaling the obtained numerical solution. Therefore, it is a
non-iterative initial value method. We find that our computed numerical
results, for a wide range of the parameter involved, are in very good
agreement with the data reported in the literature.