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构造信息势场的一个偏微分方程模型

PDE model for constructing potential fields in sensornets
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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。 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.
出处 《河北科技大学学报》 CAS 北大核心 2010年第6期492-496,共5页 Journal of Hebei University of Science and Technology
基金 国家自然科学基金资助项目(10771226 10926055)
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 sensornets potential fields finite differential method moving least-square parabolic equation
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