| 一类非线性Burgers方程组差分格式的计算稳定性 |
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| 引用本文： | 马永柳,曹艳华.一类非线性Burgers方程组差分格式的计算稳定性[J].吉首大学学报(自然科学版),2018,39(5):4. |
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| 作者姓名： | 马永柳 曹艳华 |
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| 作者单位： | （华北电力大学数理学院，北京 102206） |
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| 摘 要： | 研究了一类非线性耦合Burgers方程组差分格式的计算稳定性，由启发性分析方法可知，差分格式具有计算稳定性的必要条件是其修正微分方程组等号右端的二阶耗散项系数为正.
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Computational Stability of the Difference Schemes for a Class of Nonlinear Burgers Equations |
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| MA Yongliu,CAO Yanhua.Computational Stability of the Difference Schemes for a Class of Nonlinear Burgers Equations[J].Journal of Jishou University(Natural Science Edition),2018,39(5):4. |
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| Authors: | MA Yongliu CAO Yanhua |
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| Institution: | (School of Mathematics and Physics,North China Electric Power University,Beijing 102206,China ) |
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| Abstract: | Heuristic analysis method is used to determine the stability of the difference schemes for nonlinear differential equations.With this method,we analyze the stability of a class of coupled nonlinear Burgers equations in differential format.The second order coefficient of dissipative term in the modified differential equation is found to be the necessary condition for ensuring the stability of the equation group difference scheme. |
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| Keywords: | nonlinear Burgers equations heuristic analysis method difference schemes computational stability |
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