The Localized RBFs Collocation Methods for Solving High Dimensional PDEs
Document Type
Article
Publication Date
10-1-2013
Department
Mathematics
School
Mathematics and Natural Sciences
Abstract
In this paper we present a localized meshless method using radial basis functions (RBFs) for solving up to six dimensional problems. To improve the difficulty of selecting a shape parameter of RBF-MQ, a normalized scheme is introduced. We also make a comparison between the global and local RBF methods in terms of stability and accuracy. To demonstrate the applicability of the localized RBF method for high dimensional problems, two numerical examples with Dirichlet boundary conditions are given. (C) 2013 Elsevier Ltd. All rights reserved.
Publication Title
Engineering Analysis with Boundary Elements
Volume
37
Issue
10
First Page
1300
Last Page
1304
Recommended Citation
Li, M.,
Chen, W.,
Chen, C.
(2013). The Localized RBFs Collocation Methods for Solving High Dimensional PDEs. Engineering Analysis with Boundary Elements, 37(10), 1300-1304.
Available at: https://aquila.usm.edu/fac_pubs/7813