| 扩散波方程的显示直接差分解 |
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| 引用本文： | 周平,朱仁义.扩散波方程的显示直接差分解[J].巢湖学院学报,2008,10(3):46-50. |
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| 作者姓名： | 周平 朱仁义 |
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| 作者单位： | 巢湖学院物理与电子科学系,安徽,巢湖,238000 |
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| 摘 要： | 扩散波方程是一种既具有足够精度又便于求解的方法。本文着重探讨了扩散波方程数值差分解。利用直接差分格式的多样性,给出了扩散波方程的两种显式直接差分解,即相邻时段四点直接差分和蛙跳差分格式,并讨论了以上2种差分方程及其边界处的相容性、稳定性和收敛性条件。
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| 关 键 词： | 扩散波方程 数值解 差分格式 显示直接差分解 |
| 文章编号： | 1672-2868(2008)03-0046-05 |
| 修稿时间： | 2008年3月31日 |
THE EXPLICIT DIRECT DIFFERENCE SOLUTION OF THE DIFFUSION WAVE EQUATION |
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| ZHOU Ping,ZHU Ren-yi.THE EXPLICIT DIRECT DIFFERENCE SOLUTION OF THE DIFFUSION WAVE EQUATION[J].Chaohu College Journal,2008,10(3):46-50. |
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| Authors: | ZHOU Ping ZHU Ren-yi |
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| Abstract: | It is known that the diffusion-wave flood routing method is a good one with accuracy and simplicity.In this paper,this method is systematically studied,especially the numerical difference solution to the equations.By making use of the diversity of the finite difference scheme,two explicit direct difference,and the above two kinds of difference equations together with their compatibility,stability and convergence conditions at the boundary are discussed. |
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| Keywords: | Diffusion wave equation numerical solution Finite difference scheme explicit direct difference |
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