带有对流项的拟线性Sobolev方程的差分-流线扩散法

摘要

In this paper, we give a finite difference streamline diffusion (FDSD) scheme for solving quasi-linear Sobolev equations. We prove the solvability of the given scheme and derive a quasi-optimal error estimate in L ∞(L 2)-norm, which has 1-order accuracy in time direction and quasi-optimal order in space variables.