带扩散项色散方程的交替分组差分方法

计算物理 ›› 2005, Vol. 22 ›› Issue (1): 19-26.

带扩散项色散方程的交替分组差分方法

王文洽, 付树军

山东大学数学与系统科学学院, 山东济南 250100

收稿日期:2003-09-08 修回日期:2004-04-20 出版日期:2005-01-25 发布日期:2005-01-25
作者简介:王文洽(1950-),male,Yanggu,Shandong,Professor,Computational mathematics.
基金资助:
Supported by the Natural Science Foundation of Shandong Province of China (Y2003A04)

Alternating Segment Difference Schemes for Dispersive Equations with Diffusion

WANG Wen-qia, FU Shu-jun

School of Mathematics and System Science, Shandong University, Jinan 250100, China

Received:2003-09-08 Revised:2004-04-20 Online:2005-01-25 Published:2005-01-25
Supported by:
Supported by the Natural Science Foundation of Shandong Province of China (Y2003A04)

摘要/Abstract

摘要： 给出了逼近带扩散项色散方程的非对称差分格式,并用这些差分公式构造了求解色散方程的交替分段差分算法,算法是无条件稳定的,能直接在并行机上使用,并给出了模型问题的试验结果.

关键词: 带扩散色散方程, 交替分段差分格式, 无条件稳定, 并行差分格式

Abstract: New asymmetric difference schemes for dispersive equations with diffusion are given. A parallel alternating segment difference scheme for solving the equation is constructed, which is unconditionally stable, and can be used directly on parallel computers. Numerical experiments for the model problem are performed, and the results are reported.

Key words: dispersive equation with diffusion, alternating segment difference scheme, unconditionally stable, parallel difference scheme

中图分类号:

O241

王文洽, 付树军. 带扩散项色散方程的交替分组差分方法[J]. 计算物理, 2005, 22(1): 19-26.

WANG Wen-qia, FU Shu-jun. Alternating Segment Difference Schemes for Dispersive Equations with Diffusion[J]. CHINESE JOURNAL OF COMPUTATIONAL PHYSICS, 2005, 22(1): 19-26.

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