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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
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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。 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.
作者 田雨 崔艳芬
机构地区 上海大学理学院
出处 《应用数学进展》 2020年第2期263-269,共7页 Advances in Applied Mathematics
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