借助Petrov-Galerkin方法对一类广义KdV方程进行了讨论,得到了广义KdV方程半离散有限元解的最优阶误差估计.
A kind of generalized Korteweg-de Vries (GKdV) equations is considered, Petrov-Galerkin method is employed to obtain the optimal error estimates of GKdV equations.