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Pure Mathematics 2020
KdV方程满足能量守恒的数值方法
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Abstract:
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。
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.
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