  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.
