摘要
介绍有关无网格散点数据拟合研究中的径向基函数方法.作为一类配点型无网格方法,它不再需要网格剖分,而且基函数光滑性好,近似精度高.阐述函数的径向插值法和偏微分方程的径向基函数解法,以及无网格散点数据问题的处理技巧.并以水污染质运移模型的径向基函数解法为例,给出了模型离散化的详细过程及其数值解.与其他方法进行比较,突出径向基函数求解偏微分方程的方法的优点.
This study is of the application of the meshless radial basis function method to the fit- ting of scattered point data. As a kind of collocation meshless method, it has no extra need of mesh generation and features smoothness of basis function and high precision in approximation. The solutions to radial interpolation of function and the radial basis function of partial differenti- al equation and the treatment of meshless scattered point data are also addressed. With the ra- dial basis function method for water pollutant transport model as an example, the elaboration on model discretization and its numerical solution is provided. Compared with other methods, the merits of the radial basis function method for solving .
出处
《西安文理学院学报（自然科学版）》
2013年第3期17-21,共5页
Journal of Xi’an University(Natural Science Edition)
基金
西安市科技计划重点项目(CX12189WL09)
关键词
径向基函数
偏微分方程
水污染质运移模型
数值方法
radial basis function
partial differential numerical method partial differential equation are prominent. equation
water pollutant transport model
