AN EXPONENTIAL-TYPE WEIGHTED IMPLICIT SCHEME AND ALTERNATING GROUP EXPLICIT ITERATIVE METHOD FOR BURGERS EQUATION

被引：0

作者：

Feng Xiu-feng ^{[1
,2
]}

Tian Zhen-fu ^{[1
,2
]}

Dai Shi-qiang ^{[1
]}

机构：

[1] Shanghai Univ, Shanghai Inst Appl Math & Mech, Shanghai 200072, Peoples R China

[2] Ningxia Univ, Sch Math & Comp Sci, Yinchuan 750021, Peoples R China

来源：

JOURNAL OF HYDRODYNAMICS | 2006年 / 18卷 / 01期

关键词：

Burgers equation; exponential type; alternating group explicit method; stability;

D O I：

暂无

中图分类号：

O3 [力学];

学科分类号：

08 ; 0801 ;

摘要：

A new exponential-type weighted implicit difference scheme for solving the Burgers equation was developed and iterated by using the Alternating Group Explicit (AGE) method which has the obvious property of parallelism. The stability of the method was analyzed with linearization procedure. A model problem was numerically solved with the proposed scheme. The results show that the method is superior to some existing schemes.

引用

页码：63 / 69

页数：7

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