A Non-Iterative Transformation Method for an Extended Blasius Problem (2003.06264v2)

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 the Richardson's extrapolation technique.%, are found to be in good agreement with those available in literature.