The alternating group explicit (AGE) iterative method for variable coefficient parabolic equations

被引：3
|
作者：
Evans, DJ
Sukon, KS
机构：
[1] Parallel Algorithms Research Centre, Department of Computer Studies, University of Technology, U.K. Leics. Loughborough
[2] University of Mauritius, Reduit
来源：
INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS | 1995年 / 59卷 / 1-2期
关键词：
linear parabolic partial differential equation; AGE method;
D O I：
10.1080/00207169508804458
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper the alternating group explicit (AGE) iterative method is extended to solve the general linear variable coefficient parabolic equation in one dimension under suitable initial and boundary conditions after an appropriate transformation of the differential equation. The stability of the finite difference equations and the convergence of the AGE method is studied. The AGE methods are tested on the convection-diffusion equations in cartesian, cylindrical and spherical co-ordinates, and the results of the numerical experiments compared. The methods are explicit, accurate and flexible.
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页码：107 / 121
页数：15
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