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.

中文翻译：

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一种适用于非牛顿流体通过平板的边界层流动的非迭代变换方法

在本文中，我们为非牛顿流体通过平板的边界层流动定义了一种非迭代变换方法。要解决的问题是取决于参数的扩展 Blasius 问题。该方法允许我们通过求解相关的初始值问题，然后重新缩放获得的数值解来数值求解扩展的 Blasius 问题。因此，它是一种非迭代初值方法。我们发现我们计算出的数值结果，对于所涉及的广泛参数，与文献中报告的数据非常吻合。