关于径向基函数插值方法及其应用  

Interpolation Method of Radial Basis Function and Its Application

作　　者：魏义坤[1] 杨威[1] 刘静[1] 

机构地区：[1]成都理工大学信息管理学院,四川成都610059

出　　处：《沈阳大学学报》2008年第1期7-9,共3页

摘　　要：用径向基函数插值方法及求解偏微分方程的方法.选取Multi-Quadric方法为径向基插值函数,逆Multi-Quadric方法对偏微分方程进行数值计算,并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,提出一些需要进一步研究的问题.An interpolation method of radial basis function and a method of solving partial differential equations are introduced. Multi-Quadric is chosen as radial basis interpolation function and solve partial differential equation with constant coefficient numerically by using reverse Multi-Quadric, which compares with other method and extrudes the merit of using radial basis function to solve partial differential equation. Some problems which need to be studied further are presented.

关 键 词：径向基函数 偏微分方程 插值逼近 数值方法 

分 类 号：O174.41[理学—数学]