Artificial boundary conditions for the Burgers equation on the plane
Artificial boundary conditions for the Burgers equation on the plane
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DOI：
10.1016/j.amc.2016.04.008
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发表时间：
2016-08
期刊：
影响因子：
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通讯作者：
N. Egidi;P. Maponi
中科院分区：
文献类型：
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作者：
N. Egidi;P. Maponi
研究了二维Burgers型方程初值问题在全平面上的数值解。通常的方法，如有限差分法和有限元方法，不能直接用来求解这个问题，因为相应的区域是无界的。我们提出了一种新的方法来克服这一困难。通过几个数值算例验证了该方法的有效性。
The numerical solution of the initial value problem for the two-dimensional Burgers equation on the whole plane is considered. Usual techniques, like finite difference methods and finite element methods cannot be directly applied for the solution of this problem, because the corresponding domain is unbounded. We propose a new method to overcome this difficulty. The efficiency of the proposed method is tested by several numerical examples.