一维抛物方程三次元广义差分法的L^2估计

L2 Estimates of Third Order Generalized Difference Methods for One Dimensional Parabolic Equations

考虑一维抛物方程的三次元半离散和全离散广义差分格式，得到最优阶Ｌ２估计和Ｈ１超收敛。结果完善了广义差分法的理论。

We consider the third order semi_discrete and full discrete generalized difference schemes of one dimensional parabolic equations.The optimal order L2estimates and superconvergence in H1 are obtained.The results in this paper perfect the theory of generalized difference methods.