一维对流扩散方程的新交替分段显隐格式  

A New Alternating Segment Explicit-Implicit Scheme for One Dimensional Convection-Diffusion Equation

作　　者：顾海明[1] 刘倩[1] 

机构地区：[1]青岛科技大学,青岛

出　　处：《理论数学》2013年第6期354-361,共8页Pure Mathematics

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o(h^4)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.

关 键 词：对流扩散方程 有限差分 并行计算 绝对稳定 

分 类 号：O24[理学—计算数学]