Abstract
In this paper, we define a non-iterative transformation method for an
Extended Blasius Problem. The original non-iterative transformation
method, which is based on scaling invariance properties, was defined for
the classical Blasius problem by T\”opfer in 1912. This
method allows us to solve numerically a boundary value problem by
solving a related initial value problem and then rescaling the obtained
numerical solution. In recent years, we have seen applications of the
non-iterative transformation method to several problems of interest. The
obtained numerical results are improved by both a mesh refinement
strategy and Richardson’s extrapolation technique. In this way, we can
be confident that the computed six decimal places are correct.