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On the Shape Parameter of the MFS-MPS Scheme

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.

Identiferoai:union.ndltd.org:NSYSU/oai:NSYSU:etd-0823110-144420
Date23 August 2010
CreatorsLin, Guo-Hwa
ContributorsHung-Tsai Huang, ShihChung Chiang, Zi-Cai Li, Tzon-Tzer Lu, Chien-Sen Huang
PublisherNSYSU
Source SetsNSYSU Electronic Thesis and Dissertation Archive
LanguageEnglish
Detected LanguageEnglish
Typetext
Formatapplication/pdf
Sourcehttp://etd.lib.nsysu.edu.tw/ETD-db/ETD-search/view_etd?URN=etd-0823110-144420
Rightsunrestricted, Copyright information available at source archive

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