期刊论文

Dou, Fangfang

英文

Mathematics and Computers in Simulation

0378-4754

2020

177

500-515

10.1016/j.matcom.2020.05.013

The third author acknowledges the support of the National Natural Science Foundation of China (No. 11501086 ) and the Fundamental Research Funds for the Central Universities (No. ZYGX2019J094 ) and the Science Strength Promotion Programme of UESTC. The fourth author also acknowledges the support of Hunan Provincial Natural Science Foundation of China (No. 2018JJ3519 ) and Scientific Research Project of Hunan Provincial Office of Education (No. 17B003 ).

本校为其他机构

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 Interna...