一维对流扩散方程的新交替分段显隐格式

摘要

对一维对流扩散方程给出了一组新的交替分段显隐格式，并证明了格式无条件稳定。它可以用于并行算法且精度可以达到阶。数值实验表明，此格式具有精度高，收敛快的特点。A new alternating segment explicit-implicit scheme for convection-diffusion equation was given and this scheme was proved to be unconditionally stable. This scheme can be used in parallel computation and the spatial accuracy rate is . A numerical experiment shows that this scheme has high accuracy and quick ratio of convergence.