三阶线性方程满足能量守恒的差分格式
The Difference Scheme of Energy Conservation for the Third Order Linear Equation
DOI: 10.12677/AAM.2020.92031, PDF,   
作者: 田 雨, 崔艳芬：上海大学理学院，上海
关键词: 守恒律；稳定性；保结构性；Conservation Law； Stability； Structure Preservation
摘要: 三阶线性守恒型方程具有多个守恒律，本文对该方程设计了一种守恒型数值格式。该格式能满足方程的前两个守恒律。通过数值算例验证了格式有效性，数值结果表明，该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: Based on the third-order linear conservation equation’s many conservation laws, this paper de-signed a conservation numerical scheme which can satisfy the first two conservation laws of the equation. The numerical examples show the scheme’s effectiveness and the good stability and structure preservation in long-term numerical simulation.
文章引用：田雨, 崔艳芬. 三阶线性方程满足能量守恒的差分格式[J]. 应用数学进展, 2020, 9(2): 263-269. https://doi.org/10.12677/AAM.2020.92031

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