| 构造信息势场的一个偏微分方程模型 |
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| 引用本文： | 周 彬,穆春来,姚 卫,魏 嵬.构造信息势场的一个偏微分方程模型[J].河北科技大学学报,2010,31(6):492-496. |
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| 作者姓名： | 周 彬 穆春来 姚 卫 魏 嵬 |
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| 作者单位： | [1]西安科技大学理学院,陕西西安710054 [2]重庆大学数学与统计学院,重庆400030 [3]河北科技大学理学院,河北石家庄050018 [4]西安交通大学电信学院,陕西西安710049 |
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| 摘 要： | 提出了用于构造传感器网络中的信息位势场的一个偏微分方程模型。一个抛物方程被引入并用于确定这个位势场;有限差分法则被用于数值求解。求解得到的位势场保留了大部分对实际应用有利的节点特征。归功于偏微分方程所具有的良好性质,多个信息位势场能够很自然地被聚合起来。
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| 关 键 词： | 传感器网络 信息势场 有限差分法 移动最小二乘 抛物方程 |
| 收稿时间： | 2010/6/8 0:00:00 |
PDE model for constructing potential fields in sensornets |
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| ZHOU Bin,MU Chun-lai,YAO Wei and WEI Wei.PDE model for constructing potential fields in sensornets[J].Journal of Hebei University of Science and Technology,2010,31(6):492-496. |
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| Authors: | ZHOU Bin MU Chun-lai YAO Wei and WEI Wei |
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| Institution: | 1.School of Sciences,Xi′an University of Science and Technology,Xi′an Shaanxi 710054,China;2.School of Mathematics and Statistics,Chongqing University,Chongqing 400030,China;3.School of Sciences,Hebei University of Science and Technology,Shijiazhuang Hebei 050018,China;4.School of Electronic and Information Engineering,Xi′an Jiaotong University,Xi′an Shaanxi 710049,China) |
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| Abstract: | A PDE model is proposed in this paper to construct the information potential fields in sensornets.A parabolic equation is introduced to determine the field and the finite differential method is used to salve it.The solution preserves major nodes＇ features which are advantageous to most applications of sensornets.More than one piece of information potentials fields can be intergraded together naturally due to the sound property of the PDEs.Efficiency and stability of our method are verified by several numerical examples. |
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| Keywords: | sensornets potential fields finite differential method moving least-square parabolic equation |
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