| 土壤水分运动方程的径向基配点法 |
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| 引用本文： | 李永秀,秦新强,王全九,苏李君.土壤水分运动方程的径向基配点法[J].西安理工大学学报,2011(4):461-465. |
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| 作者姓名： | 李永秀 秦新强 王全九 苏李君 |
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| 作者单位： | 西安理工大学理学院;西安理工大学水资源研究所; |
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| 基金项目： | 陕西省教育厅自然科学基金资助项目(2010JK719); 西安理工大学校基金资助项目(108-210918) |
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| 摘 要： | 为解决一维土壤水分运动问题,结合径向基函数与配点法,提出了一种新的无网格方法———径向基配点法无网格算法,证明了解的存在性和唯一性,并通过具体的实例,将该方法与有限差分法比较,结果表明该方法具有计算精度高且易于实现的优点。
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| 关 键 词： | 无网格法 径向基函数 配点法 土壤水分运动方程 |
The Radial Basis Functions Collocation Method for Soil-Water Movement Equation |
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| LI Yongxiu,QIN Xinqiang,WANG Quanjiu,SU Lijun.The Radial Basis Functions Collocation Method for Soil-Water Movement Equation[J].Journal of Xi'an University of Technology,2011(4):461-465. |
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| Authors: | LI Yongxiu QIN Xinqiang WANG Quanjiu SU Lijun |
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| Institution: | LI Yongxiu1,QIN Xinqiang1,WANG Quanjiu2,SU Lijun2(1.Faculty of Science,Xi'an University of Technology,Xi'an 710054,China,2.Institute of Water Resource,Xi'an 710048,China) |
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| Abstract: | To solve the problem of 1-D soil water movement,and in combination of radial basis function with collocation method,a new meshfree method is proposed,that is radial basis collocation method for meshfree method.The existence and uniqueness of the solution is proved.A comparison of the new method with the finite difference method through numerical examples shows that the new method has high accuracy and is easily accomplished. |
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| Keywords: | meshfree method radial basis function collocation method soil-water movement equation |
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