非线性burger问题的数值实验

Jawad Tahir
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引用次数: 1

摘要

本文包含了非齐次Burger问题的计算实验结果,并利用非经典变分- cole - hopf变换方法找到了它的解。利用Cole-Hopf变换的精确线性化方法,以及非经典变分方法的应用,解决了非齐次Burger问题。该方法得到的解是紧致的,使得原非线性解易于逼近。该方法的准确性取决于所选基的类型及其数量。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
NUMERICAL EXPERIMENTS FOR NONLINEAR BURGER’S PROBLEM
The article contains the results of computational experiments for the non-homogeneous Burger’s problem and finding its solution by using the non-classical variational-Cole-Hopf transformation approach. On using exact linearization via Cole-Hopf transformation, as well as the application of the non-classical variational approach, then the non-homogeneous Burger’s problem has been solved. The solution which is obtained by this approach is in a compact form so that the original nonlinear solution is easy to be approximated. The accuracy of this method is dependent on the types of selected basis and its number.
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