解对流扩散方程的沿特征线中心差分格式

Finite Difference Method for Convection-diffusion Problems Based on a Central Difference Scheme along Characteristics

构造了求解对流扩散方程的沿特征线中心差分格式，得到了最佳的l2和h1误差估计．利用VonNeumann方法分析了差分格式的稳定性，得到了格式稳定的充分必要条件．

In this paper, a central difference scheme along characteristics is presented for finite difference methods for convection-diffusion problems. The optimal order error estimates in l2 and h1 are derived. Also, the stability condition and the result of computation are given.