The comparison of three meshless methods using radial basis functions for solving fourth-order partial differential equations

被引：24

作者：

Yao, Guangming ^{[2
]}

Tsai, C. H. ^{[2
]}

Chen, Wen ^{[1
]}

机构：

[1] Hohai Univ, Dept Mech, Nanjing, Peoples R China

[2] Univ So Mississippi, Dept Math, Hattiesburg, MS 39406 USA

来源：

ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS | 2010年 / 34卷 / 07期

关键词：

Radial basis function; MFS; MPS; Kansa's method; LEAKY AQUIFER SYSTEMS; POLYHARMONIC OPERATORS; FUNDAMENTAL-SOLUTIONS; HELMHOLTZ; PRODUCTS;

D O I：

10.1016/j.enganabound.2010.03.004

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

In this paper we apply the newly developed method of particular solutions (MPS) and one-stage method of fundamental solutions (MFS-MPS) for solving fourth-order partial differential equations. We also compare the numerical results of these two methods to the popular Kansas method. Numerical results in the 2D and the 3D show that the MFS-MPS outperformed the MPS and Kansas method. However, the MPS and Kansas method are easier in terms of implementation. (C) 2010 Elsevier Ltd. All rights reserved.

引用

页码：625 / 631

页数：7

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