Fast Simulation of Multi-Dimensional Wave Problems by the Sparse Scheme of the Method of Fundamental Solutions
Document Type
Article
Publication Date
8-2016
Department
Mathematics
Abstract
In this work, a meshless scheme is presented for the fast simulation of multi-dimensional wave problems. The present method is rather simple and straightforward. The Houbolt method is used to eliminate the time dependence of spatial variables. Then the original wave problem is converted into equivalent systems of modified Helmholtz equations. The sparse scheme of the method of fundamental solutions in combination with the localized method of approximate particular solutions is employed for efficient implementation of spatial variables. To demonstrate the effectiveness and simplicity of this new approach, three numerical examples have been assessed with excellent performance. (C) 2016 Elsevier Ltd. All rights reserved.
Publication Title
Computers and Mathematics with Applications
Volume
72
Issue
3
First Page
555
Last Page
567
Recommended Citation
Lin, J.,
Chen, C.,
Liu, C.,
Lu, J.
(2016). Fast Simulation of Multi-Dimensional Wave Problems by the Sparse Scheme of the Method of Fundamental Solutions. Computers and Mathematics with Applications, 72(3), 555-567.
Available at: https://aquila.usm.edu/fac_pubs/17431