KdV方程满足能量守恒的数值方法
The Numerical Scheme of Energy Conservation for the KdV Equation
DOI: 10.12677/PM.2020.108090, PDF, HTML, 下载: 465  浏览: 710 
作者: 田 雨, 崔艳芬：上海大学理学院，上海
关键词: 网格平均；数值能量；守恒律；保结构性；Cell-Average； Numerical Energy； Conservation Laws； Structure Preservation
摘要: 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。
Abstract: 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.
文章引用：田雨, 崔艳芬. KdV方程满足能量守恒的数值方法[J]. 理论数学, 2020, 10(8): 771-783. https://doi.org/10.12677/PM.2020.108090

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