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A Non-Iterative Transformation Method Applied to Boundary-Layer Flows of Non-Newtonian Fluids Past a Flat Plate (2011.09662v1)
Published 13 Nov 2020 in math.NA and cs.NA
Abstract: 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.