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

作     者：FENG Xiu-fang TIAN Zhen-fu DAI Shi-qiang FENG Xiu-fang, TIAN Zhen-fu Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University,Shanghai 200072,ChinaSchool of Mathematics and Computer Science, Ningxia University, Yinchuan 750021,ChinaDAI Shi-qiang Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University,Shanghai 200072,China

作者机构：Shanghai Institute of Applied Mathematics and Mechanics Shanghai University Shanghai 200072 China School of Mathematics and Computer Science Ningxia University Yinchuan 750021 China 

出 版 物：《Journal of Hydrodynamics》 (水动力学研究与进展B辑（英文版）)

年 卷 期：2006年第18卷第1期

页      面：63-69页

核心收录：

学科分类：080103[工学-流体力学] 08[工学] 080104[工学-工程力学] 081502[工学-水力学及河流动力学] 0815[工学-水利工程] 0805[工学-材料科学与工程（可授工学、理学学位）] 0802[工学-机械工程] 0701[理学-数学] 0801[工学-力学（可授工学、理学学位）] 0702[理学-物理学] 0812[工学-计算机科学与技术（可授工学、理学学位）] 

基　　金：Project supported by the Teaching and Research Awarded Program for Outstanding Young Teachers in Higher Education Institutions of MOE P.R.China and High Performance Computing Foundation of China (Grant Nos: 99107  00108) 

主　　题：Burgers equation exponential type alternating group explicit method stability 

摘      要：A new exponential-type weighted implicit difference schcme 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 superb or to some existing schemes.