In this paper, within scaling invariance theory, we define and apply to the numerical solution of a similarity boundary layer model an iterative transformation method. The boundary value problem to be solved depends on a parameter and is defined on a semi-infinite interval. Using our transformation method we are able to solve the problem in point for a large range of the parameter involved. As far as the accuracy of our numerical method is concerned, for two specific values of the involved parameter, we are able to compare favorably the obtained numerical result for the so-called missing initial condition to the exact solution reported by Crane [Z. Angew. Math. Phys., 21:645-647, 1970].

中文翻译：

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一种相似边界层模型的迭代变换方法

在本文中，在标度不变性理论中，我们定义了一种迭代变换方法并将其应用于相似边界层模型的数值解。要解决的边值问题取决于一个参数，并在半无限区间上定义。使用我们的转换方法，我们能够解决涉及大范围参数的问题。就我们数值方法的准确性而言，对于所涉及参数的两个特定值，我们能够将获得的所谓缺失初始条件的数值结果与 Crane [Z. 安吉。数学。物理学，21:645-647, 1970]。