The Kansa RBF method with auxiliary boundary centres for fourth order boundary value problems

被引：20

作者：

Karageorghis, Andreas ^{[1
]}

Tappoura, Demetriana ^{[1
]}

Chen, C. S. ^{[2
]}

机构：

[1] Univ Cyprus, Dept Math & Stat, POB 20537, CY-1678 Nicosia, Cyprus

[2] Univ Southern Mississippi, Sch Math & Nat Sci, Hattiesburg, MS 39406 USA

来源：

MATHEMATICS AND COMPUTERS IN SIMULATION | 2021年 / 181卷

关键词：

Kansa RBF method; Shape parameter; Centres; FUNDAMENTAL-SOLUTIONS; SHAPE PARAMETER; ALGORITHM;

D O I：

10.1016/j.matcom.2020.10.010

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

We consider the application of the Kansa-radial basis function (RBF) collocation method to two-dimensional fourth order boundary value problems (BVPs). The presence of two boundary conditions makes it necessary to use a second set of centres corresponding to the second boundary condition. One option is to take these centres on the boundary but at different positions to the original boundary centres. A second option is to place them on a curve surrounding the physical boundary of the problem under consideration. The two approaches are applied to several numerical examples and their results are compared and analysed. (C) 2020 International Association for Mathematics and Computers in Simulation (IMACS). Published by Elsevier B.V. All rights reserved.

引用

页码：581 / 597

页数：17

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