理论数学

Vol.3 No.6 (November 2013)

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 , 刘 倩 :青岛科技大学,青岛

 

关键词:

对流扩散方程有限差分并行计算绝对稳定Convection-Diffusion Equation Finite Difference Parallel Algorithm Absolute Stability

 

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.

文章引用:

顾海明 , 刘 倩 (2013) 一维对流扩散方程的新交替分段显隐格式。 理论数学, 3, 354-361. doi: 10.12677/PM.2013.36054

 

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