论文标题
相似性边界层模型的迭代转换方法
An Iterative Transformation Method for a Similarity Boundary Layer Model
论文作者
论文摘要
在本文中,在缩放不变理论中,我们定义并应用于相似性边界层模型的数值解A迭代转换方法。要解决的边界值问题取决于一个参数,并在半无限间隔中定义。使用我们的转换方法,我们能够为涉及的大量参数解决问题。就我们的数值方法的准确性而言,对于涉及参数的两个特定值,我们能够很好地比较所谓的缺失初始条件与Crane [Z.安格。数学。 Phys。,21:645-647,1970]。
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].