Alternating group explicit method with exponential-type for the diffusion-convection equation

被引：11
|
作者：
Feng, X. F.
Tian, Z. F. [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：
INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS | 2006年 / 83卷 / 10期
关键词：
diffusion-convection equation; alternating group explicit method; exponential-type;
D O I：
10.1080/00207160601084463
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Based on the semi-explicit asymmetric exponential schemes constructed by the author, a new alternating group explicit (AGE) method with exponential-type for the numerical solution of the convection-diffusion equation is derived in the paper. The method has the obvious property of parallelism and is unconditionally stable. The results of numerical examples are given to show the effectiveness of the present methods that are in preference to the Evans and Abdullah' method in [Evans, D.J. and Abdullah, A.R., 1985, A new explicit method for the diffusion-convection equation. Computers & Mathematics with Application, 11, 145-154].
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页码：765 / 775
页数：11
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