期刊
COMPUTATIONAL & APPLIED MATHEMATICS
卷 34, 期 2, 页码 691-704出版社
SPRINGER HEIDELBERG
DOI: 10.1007/s40314-014-0132-0
关键词
Meshless method; Radial basis function; Constant shape parameter strategies; Variable shape parameter strategies
One of the most popular meshless methods is constructed by radial kernels as basis called radial basis function method. It has a unique feature which affects significantly on accuracy and stability of approximation: existence of a free parameter known as shape parameter that can be chosen constantly or variably. Several techniques for selecting a variable shape parameter have been presented in the older works. Our study focuses on investigating the deficiency of these techniques and we introduce two new alternative strategies called hybrid shape parameter and binary shape parameter strategies based on the advantages of older studies. The proposed approaches produce the more accurate results as shown in numerical results where they are compared with random shape parameter strategy for interpolating one-dimensional and two- dimensional functions as well as in approximating the solution of Poisson equation.
作者
我是这篇论文的作者
点击您的名字以认领此论文并将其添加到您的个人资料中。
推荐
暂无数据