Title page for etd-0823110-144420


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URN etd-0823110-144420
Author Guo-Hwa Lin
Author's Email Address rocktt123@hotmail.com
Statistics This thesis had been viewed 5062 times. Download 947 times.
Department Applied Mathematics
Year 2009
Semester 2
Degree Master
Type of Document
Language English
Title On the Shape Parameter of the MFS-MPS Scheme
Date of Defense 2010-07-23
Page Count 37
Keyword
  • particular solution
  • method of fundamental solution
  • radial basis functions
  • error estimate
  • meshless method
  • Spectral Collocation method using Polynomial
  • Abstract 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.
    Advisory Committee
  • Tzon-Tzer Lu - chair
  • Zi-Cai Li - co-chair
  • ShihChung Chiang - co-chair
  • Hung-Tsai Huang - co-chair
  • Chien-Sen Huang - advisor
  • Files
  • etd-0823110-144420.pdf
  • indicate access worldwide
    Date of Submission 2010-08-23

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