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

A Non-Iterative Transformation Method for Boundary-Layer with Power-Law Viscosity for Newtonian Fluids