[1]曾文平.对流-扩散方程精细积分法与差分法比较[J].华侨大学学报(自然科学版),2001,22(1):20-25.[doi:10.3969/j.issn.1000-5013.2001.01.005]
　Zeng Wenping.A Comparative Study on Fine Integral Method and Difference Method for Convection-Diffusion Equation[J].Journal of Huaqiao University(Natural Science),2001,22(1):20-25.[doi:10.3969/j.issn.1000-5013.2001.01.005]
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对流-扩散方程精细积分法与差分法比较()
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《华侨大学学报（自然科学版）》[ISSN:1000-5013/CN:35-1079/N]

卷:
第22卷
期数:
2001年第1期
页码:
20-25
栏目:
出版日期:
2001-01-20

文章信息/Info

Title:
A Comparative Study on Fine Integral Method and Difference Method for Convection-Diffusion Equation
文章编号:
1000-5013(2001)01-0020-06
作者:
曾文平
华侨大学经济管理学院, 泉州362011
Author(s):
Zeng Wenping
College of Econ. Manag., Huaqiao Univ., 362011, Quanzhou
关键词:
对流-扩散方程初值问题;  偏微分方程数值解;  精细积分法
Keywords:
initial value as a problem to convection diffusion equation;  numerical solution of partial differential equation;  fine integral method
分类号:
O241.82
DOI:
10.3969/j.issn.1000-5013.2001.01.005
摘要:
可用单内点子域精细积分,求解对流 -扩散方程初值问题 .当单内点精细积分中的传递函数,即指数函数用 Taylor展开式的一阶近似来替代时,精细积分转化为差分方程 .文中研究了这一对应关系 .各种常见差分格式均找到了对应的单点精细积分格式,并在单点精细积分一般公式中得到了统一表达式
Abstract:
Initial value as a problem of convection diffusion equation can be solved by applying fine integral of single inner point subdomains.When the transfer function,namely,exponential function in fine integral of single inner point is replaced by first order approximation of Taylor expansion equation,the fine integral is transferred into difference equation.This correspondence is studied by this paper.Different kinds of common difference schemes have got corresponding fine integral schemes of single point; and also the unified eapression in general formula of single point fine integral.

参考文献/References:

[1] 钟万勰. 结构动力方程的精细时程积分法 [J]. 大连理工大学学报, 1994(2):1-6.
[2] 钟万勰. 子域精细积分及偏微分方程数值解 [J]. 计算结构力学及其应用, 1995(3):253-260.
[3] 沈为平. 扩散方程单内点精细积分法与差分法比较研究 [J]. 计算结构力学及其应用, 1996(3):359-363.
[4] 曾文平. 对流-扩散方程的若干AGE方法与ADE格式及其稳定性 [J]. 华侨大学学报(自然科学版), 1999(3):230-236.

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　Zeng Wengping.Comparison between Meticulous Integration and Difference Method for Solving Two-Dimensional Parabolic Equation[J].Journal of Huaqiao University(Natural Science),2002,23(1):5.[doi:10.3969/j.issn.1000-5013.2002.01.002]

备注/Memo

备注/Memo:
福建省自然科学基金资助项目
更新日期/Last Update: 2014-03-23