| 基于二次插值的非饱和土壤水流问题的特征差分方法及数值模拟 |
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| 引用本文： | 宋丽叶.基于二次插值的非饱和土壤水流问题的特征差分方法及数值模拟[J].应用数学,2006,19(1):159-168. |
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| 作者姓名： | 宋丽叶 |
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| 作者单位： | 中国科学院大气物理研究所,北京,100029 |
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| 基金项目： | 科技部科研项目;中国科学院资助项目 |
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| 摘 要： | 本文针对一类非饱和土壤水流问题,提出了基于二次插值的特征差分格式,得到了严谨的L2模误差估计.并作了数值试验,指明方法的有效性.
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| 关 键 词： | 非饱和土壤水流 特征差分法 二次插值 误差估计 数值模拟 |
| 文章编号： | 1001-9847(2006)01-0159-10 |
| 收稿时间： | 2005-04-04 |
| 修稿时间： | 2005年4月4日 |
Characteristics Finite Difference Method and Numerical Simulation Based on Quadratic Interpolation for the Unsaturated Soil Water Flow Problem |
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| SONG Li-ye.Characteristics Finite Difference Method and Numerical Simulation Based on Quadratic Interpolation for the Unsaturated Soil Water Flow Problem[J].Mathematica Applicata,2006,19(1):159-168. |
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| Authors: | SONG Li-ye |
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| Institution: | Institute of Atmospheric Physics, Chinese Academy of Sciences, Beijing 100029, China |
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| Abstract: | In this paper,a characteristic finite difference method based on quadratic interpolation for an unsaturated soil water flow problem is studied.L2-error estimate is derived.Some numerical examples have been given to show the validity of the method. |
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| Keywords: | Unsaturated soil water flow Characteristics finite difference Quadratic interpolation Error estimate Numerical simulation |
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