Title

The localized RBFs collocation methods for solving high dimensional PDEs

Document Type

Article

Publication Date

10-1-2013

Department

Mathematics

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