A Class of Parallel Finite Difference Method for Convection-Diffusion Equations

被引:0
作者
Feng, Qinghua [1 ]
机构
[1] Shandong Univ Technol, Sch Sci, Zibo 255049, Peoples R China
来源
NUMERICAL ANALYSIS AND APPLIED MATHEMATICS, VOLS 1 AND 2 | 2009年 / 1168卷
关键词
convection-diffusion equations; parallel computing; finite difference; alternating group; PARABOLIC EQUATIONS; ALGORITHMS;
D O I
暂无
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper, we derive a class of alternating group explicit finite difference method (AGE) for convection-diffusion equations based on the concept of domain decomposition and eight saul'yev asymmetric schemes. The AGE method is verified to be unconditionally stable, and has the property of parallelism. Results of numerical examples show the AGE method is of high accuracy.
引用
收藏
页码:185 / 188
页数:4
相关论文
共 8 条
[1]   A NEW EXPLICIT METHOD FOR THE DIFFUSION-CONVECTION EQUATION [J].
EVANS, DJ ;
ABDULLAH, AR .
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 1985, 11 (1-3) :145-154
[2]   GROUP EXPLICIT METHODS FOR PARABOLIC EQUATIONS [J].
EVANS, DJ ;
ABDULLAH, ARB .
INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS, 1983, 14 (01) :73-105
[3]   THE SOLUTION OF PERIODIC PARABOLIC EQUATIONS BY THE COUPLED ALTERNATING GROUP EXPLICIT (CAGE) ITERATIVE METHOD [J].
EVANS, DJ .
INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS, 1990, 34 (3-4) :227-235
[4]  
FU TZ, 2000, J ENG MATH, V17, P65
[5]  
KELLOGG B, 1964, J SOC IND APPL MATH, V12, P848
[6]   Highly accurate two parameter CAGE parallel algorithms for non-linear singular two point boundary value problems [J].
Mohanty, RK ;
Evans, DJ .
INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS, 2005, 82 (04) :433-444
[7]   Alternating group explicit parallel algorithms for the solution of one-space dimensional non-linear singular parabolic equations using an O(k2+h4) difference method [J].
Mohanty, RK ;
Evans, DJ .
INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS, 2005, 82 (02) :203-218
[8]   New stable group explicit finite difference method for solution of diffusion equation [J].
Tavakoli, Rohallah ;
Davami, Parviz .
APPLIED MATHEMATICS AND COMPUTATION, 2006, 181 (02) :1379-1386