%0 Journal Article
%T KdV方程满足能量守恒的数值方法<br>The Numerical Scheme of Energy Conservation for the KdV Equation
%A 田雨
%A 崔艳芬
%J Pure Mathematics
%P 771-783
%@ 2160-7605
%D 2020
%I Hans Publishing
%R 10.12677/PM.2020.108090
%X <p align=\"justify\">
	本文对KdV方程设计了一类发展的满足两个守恒律的数值格式，该格式不仅能满足数值解守恒， 而且能满足数值能量守恒。 数值算例结果表明，这类满足两个守恒律的数值格式，在长时间的数 值模拟中具有很好的稳定性和保结构性。<br />
We design a class of improved scheme satisfying two conservation laws for the KdV equation, which satisfies both the numerical solution and numerical energy conserva- tive. Numerical experiments show that the schemes have good stability and structure- preserving property in long time numerical simulations.
</p>
%K 网格平均，数值能量，守恒律，保结构性<br>Cell-Average
%K Numerical Energy
%K Conservation Laws
%K Structure Preservation
%U http://www.hanspub.org/journal/PaperInformation.aspx?PaperID=37293