A Comparison Study of the LMAPS Method and the LDQ Method For Time-Dependent Problems
Document Type
Article
Publication Date
9-2-2013
Department
Mathematics
School
Mathematics and Natural Sciences
Abstract
This paper compares numerical solutions of spatial-temporal partial differential equations based on two RBF-based meshless methods: the local method of approximate particular solutions (LMAPS) and the local RBFs-based DQ method (LDQ). To avoid the ill-conditioned problems of the global version, the weighting coefficients at the supporting points are determined by solving low-order linear systems instead of large dense linear systems. The Runge-Kutta method is adopted for time stepping schemes. The numerical experiments have shown that the LMPAS method and the LDQ method are capable of solving the initial boundary value problem for spatial-temporal partial differential equations with high accuracy and efficiency. © 2013 Elsevier Ltd.
Publication Title
Engineering Analysis with Boundary Elements
Volume
37
Issue
11
First Page
1408
Last Page
1415
Recommended Citation
Zhang, X.,
Zhu, H.,
Kuo, L.
(2013). A Comparison Study of the LMAPS Method and the LDQ Method For Time-Dependent Problems. Engineering Analysis with Boundary Elements, 37(11), 1408-1415.
Available at: https://aquila.usm.edu/fac_pubs/17918