| 二维抛物型方程精细积分法与差分法比较 |
| |
| 引用本文： | 曾文平.二维抛物型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),2002,23(1):5-11. |
| |
| 作者姓名： | 曾文平 |
| |
| 作者单位： | 华侨大学数学系,泉州,362011 |
| |
| 基金项目： | 福建省自然科学基金资助项目 |
| |
| 摘 要： | 可用单内点子域精细积分法，求解二维抛物型方程初值问题。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。研究这一对应关系，使各种常见差分格式均找到对应的单点精细积分格式，并在单点精细积分的一般公式中获得统一表达式。
|
| 关 键 词： | 差分法 二维抛物型方程 初值问题 偏微分方程数值解 精细积分法 Taylor展开式 单点精细积分格式 |
| 文章编号： | 1000-5013(2002)01-005-07 |
Comparison between Meticulous Integration and Difference Method for Solving Two-Dimensional Parabolic Equation |
| |
| 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):5-11. |
| |
| Authors: | Zeng Wengping |
| |
| Abstract: | The initial-value problem of two-dimensional parabolic equation can be solved by using meticulous integration of single inner point subdomain. The meticulous integration is turned into difference equation in case transfer function, i.e. exponential function in meticulous integration of single inner point is replaced by Taylor expansion. This correspondence is studied, and each common difference scheme finds its corresponding meticulous integration of single point, and the unified expression is obtained in the general formula for meticulous integration of single point. |
| |
| Keywords: | two-dimensional parabolic equation initial-value problem numerical solution to partial differential equation meticulous integration |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
