| 对流-扩散方程精细积分法与差分法比较 |
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| 引用本文： | 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. |
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| 作者姓名： | 曾文平 |
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| 作者单位： | 华侨大学经济管理学院, |
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| 基金项目： | 福建省自然科学基金资助项目 |
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| 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－阶近似以来替代时，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统一表达式。
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| 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 差分法 单点精细积分格式 粘性流体运动方程 |
| 文章编号： | 1000-5013(2001)01-020-06 |
| 修稿时间： | 2000年7月27日 |
A Comparative Study on Fine Integral Method and Difference Method for Convection-Diffusion Equation |
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| 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. |
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| Authors: | Zeng Wenping |
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| 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. |
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| Keywords: | initial value as a problem to convection diffusion equation numerical solution of partial differential equation fine integral method |
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