In this paper, we use the newly developed method of particular solution (MPS) and one-stage method of fundamental solution (MFS-MPS) for solving partial differential equation (PDE). In the 1-D Poisson equation, we prove the solution of MFS-MPS is converge to Spectral Collocation Method using Polynomial, and show that the numerical solution similar to those of using the method of particular solution (MPS), Kansa's method, and Spectral Collocation Method using Polynomial (SCMP). In 2-D, we also test these results for the Poisson equation and find the error behaviors.
| Identifer | oai:union.ndltd.org:NSYSU/oai:NSYSU:etd-0823110-144420 |
| Date | 23 August 2010 |
| Creators | Lin, Guo-Hwa |
| Contributors | Hung-Tsai Huang, ShihChung Chiang, Zi-Cai Li, Tzon-Tzer Lu, Chien-Sen Huang |
| Publisher | NSYSU |
| Source Sets | NSYSU Electronic Thesis and Dissertation Archive |
| Language | English |
| Detected Language | English |
| Type | text |
| Format | application/pdf |
| Source | http://etd.lib.nsysu.edu.tw/ETD-db/ETD-search/view_etd?URN=etd-0823110-144420 |
| Rights | unrestricted, Copyright information available at source archive |
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