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

DOI: 10.12677/PM.2013.36054, PDF, HTML, 下载: 2,255  浏览: 6,376 

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。
Abstract: 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. 一维对流扩散方程的新交替分段显隐格式[J]. 理论数学, 2013, 3(6): 354-361. http://dx.doi.org/10.12677/PM.2013.36054