| Crank-Nicolson格式精度的改进 |
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| 引用本文： | 张小峰,张红武.Crank-Nicolson格式精度的改进[J].水科学进展,2001,12(1):33-38. |
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| 作者姓名： | 张小峰 张红武 |
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| 作者单位： | 1.武汉大学河流工程系, 湖北武汉430072; |
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| 基金项目： | 教育部留学回国人员科研启动基金资助项目. |
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| 摘 要： | 运用待定系数法,对Crank-Nicolson格式进行了改进,得到一新的具有3阶精度的HAUC2格式.新格式有非保守型和保守型两种.对质量输移对流方程计算表明,HAUC2格式的计算结果与精确解吻合良好,与原Crank-Nicolson格式相比计算精度得到明显改善.
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| 关 键 词： | 数值精度 数值格式 Crank-Nicolson格式 有限差分法 待定系数法 |
| 文章编号： | 1001-6791(2001)01-0033-06 |
| 收稿时间： | 2000-01-17 |
| 修稿时间： | 2000年1月17日 |
Efficient Improvement of
Crank-Nicolson Scheme |
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| ZHANG Xiao-feng,ZHANG Hong-wu.Efficient Improvement of
Crank-Nicolson Scheme[J].Advances in Water Science,2001,12(1):33-38. |
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| Authors: | ZHANG Xiao-feng ZHANG Hong-wu |
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| Institution: | 1.Department of River Engineering, Wuhan University, Wuhan 430072, China;2.Department of Hydraulic Engineering, Tsinghua University, Beijing 100084, China |
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| Abstract: | Using the undetermined coefficient method developed by authors,accuracy of the Crank-Nicolson scheme is improved effectively．The improved one, named as HAUC2 scheme, is a three order scheme and agrees well with exact solution of pure convection equation．Conservative form of the new scheme is also pressented, which enhances its applicability in the engineering． |
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| Keywords: | numerical accuracy numerical scheme Crank-Nicolson scheme finite difference method undetermined coefficient method |
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