Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
470254 | Computers & Mathematics with Applications | 2016 | 13 Pages |
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.
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Physical Sciences and Engineering
Computer Science
Computer Science (General)
Authors
Ji Lin, C.S. Chen, Chein-Shan Liu, Jun Lu,