抛物型方程的O(h4)精度新交替分段显隐格式

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抛物型方程的O(h4)精度新交替分段显隐格式

张守慧¹^,²,王文洽¹

1. 山东大学数学与系统科学学院, 山东济南 250100;2. 济南大学理学院, 山东济南 250022

收稿日期:1900-01-01 修回日期:1900-01-01 出版日期:2006-10-24 发布日期:2006-10-24
通讯作者: 张守慧

An O(h4) accurate new alternating segment explicit-implicit schemes for a parabolic problem

ZHANG Shou-hui¹^,²,WANG Wen-qia¹

1. School of Mathematics and System Sciences, Shandong University, Jinan 250100, Shandong, China;2. School of Science, Jinan University, Jinan 250022, Shandong, China

Received:1900-01-01 Revised:1900-01-01 Online:2006-10-24 Published:2006-10-24
Contact: ZHANG Shou-hui

摘要/Abstract

摘要： 给出了对流扩散方程的一种高精度新的交替分段显隐格式。它可以用于并行计算,且无条件稳定，空间的精确度可以达到O(h4)阶,最后的数值实验也证实了这一点。

关键词: 交替分段格式, 并行算法 , 对流扩散问题

Abstract: A high accurate new alternating segment explicit-implicit(nASE-I) scheme for a parabolic problem was given. This scheme can be used in parallel computation, which was proved to be unconditionally stable. The spatial accuracy rate is O(h4), which was proved to be highly accurate by numerical experiments.

Key words: parallel algorithm , convection diffusion problem, small alternating segment scheme

中图分类号:

O241.82

张守慧,王文洽 . 抛物型方程的O(h4)精度新交替分段显隐格式[J]. J4, 2007, 42(12): 120-126 .

ZHANG Shou-hui,WANG Wen-qia . An O(h4) accurate new alternating segment explicit-implicit schemes for a parabolic problem[J]. J4, 2007, 42(12): 120-126 .

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