中文摘要：

利用在网格内恰当选取特征线上插值点的技巧,提出了一种新型的求解对流扩散方程的特征差分方法,并给出了稳定性与收敛性分析.该方法避免了数值扩散的产生,同时具有O（τ＋h^2）阶的收敛阶.数值实验表明,该方法是一个高效、稳定和收敛的数值方法.

英文摘要：

Based on technique of choosing the interpolatory point on characteristic line in grid, a new kind of characteristic-difference scheme for solving convection-diffusion equations is presented. Convergence and stability of the scheme are analyzed in this paper. This scheme avoids the numerical diffusion and gets an error of sizeO（τ＋h^2. Numerical experiment results demonstrate that the scheme is efficient and convergent.