相似边界层模式的迭代变换法
An Iterative Transformation Method for a Similarity Boundary Layer Model
摘要：
本文根据标度不变性理论，定义了一种迭代变换方法，并将其应用于相似边界层模式的数值解。要解决的边值问题依赖于一个参数，并被定义在一个半无限区间。使用我们的转换方法，我们能够解决问题的点为大范围的参数。就我们数值方法的精度而言，对于两个特定的参数值，我们能够将所谓的初始条件缺失的数值结果与Crane [Z. Angew.数学物理，21：645-647，1970]。
英文摘要：
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].
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