论文标题

用于扩展的Blasius问题的非题量转换方法

A Non-Iterative Transformation Method for an Extended Blasius Problem

论文作者

Fazio, Riccardo

论文摘要

在本文中,我们为扩展的Blasius问题定义了一种非题转换方法。 Töpfer在1912年定义了基于缩放不变属性的原始非著作转换方法,该方法定义为经典的Blasius问题。此方法使我们能够通过求解相关的初始值问题,然后重新删除所获得的数值解决方案来解决数值的边界价值问题。近年来,我们已经看到了非素养转换方法的应用,以在几个感兴趣的问题上。 通过网状细化策略和理查森的外推技术可以改善所获得的数值结果。%,与文献中可用的策略相吻合。

In this paper we define a non-iterative transformation method for an Extended Blasius Problem. The original non-iterative transformation method, which is based on scaling invariance properties, was defined for the classical Blasius problem by Töpfer in 1912. This method allows us to solve numerically a boundary value problem by solving a related initial value problem and then rescaling the obtained numerical solution. In recent years, we have seen applications of the non-iterative transformation method to several problems of interest. The obtained numerical results, are improved by both a mesh refinement strategy and the Richardson's extrapolation technique.%, are found to be in good agreement with those available in literature.

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