KDV-Burgers方程的拟特征线方法求解

The Characteristic Line Method for the Solution of KDVBurgers Equation

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．

KDVBurgers equation can be regarded as control equation of nonlinear waterwave problem with viscous effect, and simplified equation of many fluid flow physics problems as well. In this paper, a quasicharacteristics line method is employed to solve the equation .Good agreement is obtained in the numerical solutions and theoretical results.