本文为了求解广义Ginzburg-Landau方程，提出了带有附加项的五点单弛豫格子Boltzmann模型．首先通过使用Chapman-Enskog展开和Taylor展开，得到了一系列不同时间尺度的偏微分方程和平衡态分布函数的高阶矩．然后我们利用平衡态分布函数的矩方程构造了具有截断误差的格子Boltzmann模型，得到了数值耗散项，并应用Hirt启示性稳定化方法得到模型的稳定条件．最后，我们给出了广义Ginzburg-Landau方程的数值例子．数值结果表明这种方法可以用来模拟广义Ginzburg-Landau方程．

In this paper, a 5-bit single relaxation lattice Boltzmann model with additional terms is proposed for solving the generalized Ginzburg-Landau equation. Firstly, by using Chapman-Enskog expansion and Taylor expansion, we obtain a series of partial differential equations in different time scales and several high-order moments of equilibrium distribution functions. Then we establish a lattice Boltzmann model with truncation error by applying a series of moments of equilibrium distribution functions and derive the numerical dissipation term. Moreover, we obtain the stability condition of the model by ultilizing the Hirt heuristic method. Finally, we provide some numerical examples of the generalized Ginzburg-Landau equation. Numerical results indicate that the method can be used to simulate the generalized Ginzburg-Landau equation.