The LMAPS for solving fourth -order PDEs with polynomial basis functions

被引：4
|
作者：
Chen, C. S. [1 ,2 ]
Shen, Shu-Hui [1 ]
Dou, Fangfang [1 ]
Li, J. [3 ]
机构：
[1] Univ Elect Sci & Technol China, Sch Math Sci, Chengdu, Sichuan, Peoples R China
[2] Univ Southern Mississippi, Sch Math & Nat Sci, Hattiesburg, MS 39406 USA
[3] Changsha Univ Sci & Technol, Sch Math & Stat, Changsha, Hunan, Peoples R China
来源：
MATHEMATICS AND COMPUTERS IN SIMULATION | 2020年 / 177卷
基金：
中国国家自然科学基金;
关键词：
HELMHOLTZ-TYPE; BIHARMONIC EQUATION; LOCALIZED METHOD; SPACE; LOCATION;
D O I：
10.1016/j.matcom.2020.05.013
中图分类号：
TP39 [计算机的应用];
学科分类号：
081203 ; 0835 ;
摘要：
Due to certain difficulties in solving fourth-order partial differential equations (PDEs) using localized methods, the given differential equation is normally split into two decoupled second order PDEs. Such an approach is only feasible for Dirichlet and Laplace boundary conditions. In this paper the localized method of particular solutions is applied to fourth-order PDEs directly using polynomial basis functions. The effectiveness of the proposed algorithms is demonstrated by considering four numerical examples. © 2020 International Association for Mathematics and Computers in Simulation (IMACS)
引用
收藏
页码：500 / 515
页数：16
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