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KDV-Burgers方程可作为具有粘性耗散效应的非线性水波问题的控制方程,也是描述许多流体物理问题的简化方程.本文采用拟特征线方法对KDV-Burgers方程进行了数值求解,研究了在不同耗散效应和色散效应时数值解的特性,发现与理论分析结果吻合良好.
The KDV-Burgers equation can be used as a governing equation for the nonlinear wave problem with viscous dissipative effects and as a simplified equation describing many fluid physics problems. In this paper, the quasi-characteristic line method is used to solve the KDV-Burgers equation numerically. The numerical solutions of the numerical solutions for different dissipation and dispersion effects are studied. The results agree well with the theoretical analysis.