| 二维非饱和水流的全离散广义差分格式分析及其数值模拟 |
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| 引用本文： | 李焕荣.二维非饱和水流的全离散广义差分格式分析及其数值模拟[J].系统科学与数学,2010,30(9):1163-1174. |
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| 作者姓名： | 李焕荣 |
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| 作者单位： | 重庆工商大学数学与统计学院,重庆,400067 |
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| 基金项目： | 国家自然科学基金，重庆市教委科技基金和重庆市自然科学基金计划项目资助课题 |
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| 摘 要： | 建立二维非饱和水流问题的全离散广义差分格式,讨论了全离散广义差分解的存在唯一性,并给出最优误差估计的证明．最后给出数值算例,验证方法的有效性.
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| 关 键 词： | 非饱和水流 全离散 广义差分格式 数值模拟. |
| 收稿时间： | 2009-9-28 |
| 修稿时间： | 2010-7-21 |
A FULLY DISCRETE GENERALIZED DIFFERENCE FORMULATION AND NUMERICAL SIMULATION FOR UNSATURATED WATER FLOW |
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| LI Huanrong.A FULLY DISCRETE GENERALIZED DIFFERENCE FORMULATION AND NUMERICAL SIMULATION FOR UNSATURATED WATER FLOW[J].Journal of Systems Science and Mathematical Sciences,2010,30(9):1163-1174. |
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| Authors: | LI Huanrong |
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| Institution: | College of Mathematics, Chongqing Technology and Business University, Chongqing 400067 |
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| Abstract: | A numerical model for an unsaturated soil water flow equation is established with the generalized difference method. The existence and uniqueness of the fully discrete generalized difference solution are proved, and the error estimates of the fully discrete generalized difference solutions are analyzed. And finally, a numerical example is given. |
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| Keywords: | Unsaturated water flow fully discrete generalized difference numerical simulation |
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