Title page for etd-0615113-120651


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URN etd-0615113-120651
Author Yu-tsun Chen
Author's Email Address No Public.
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Department Applied Mathematics
Year 2012
Semester 2
Degree Master
Type of Document
Language English
Title On the Convergence of the Radial Basis Collocation Schemes for 1-D Eigenmodes of Elliptic Operators
Date of Defense 2013-06-27
Page Count 20
Keyword
  • Eigenmode problem
  • Lagrange interpolating polynomial
  • Poisson equation
  • Radial basis function
  • Elliptic operators
  • Abstract   Chen el al. [3] showed that for 1D Poisson's equation the approximate solution obtained by using method of fundamental solutions (MFS) coupled with the radial basis functions (RBFs) converges in the sense of Lagrange interpolating polynomial using the result of Driscoll and Fornberg [2]. For an elliptic operator eigenmode problem we show that similar results could be obtained. That is the solution obtained by radial basis collocation schemes converges to the solution with Lagrange interpolating polynomial being the underline approximate solution. In this thesis, we compare the approximate solutions of 1-D elliptic eigenmodes problem using radial basis function and Lagrange interpolating polynomial in a collocation scheme, and conclude that the solution obtained from RBF collocation method converges to the solu- tion using Lagrange interpolating polynomial as approximate solution in the similar sense of Driscoll and Fornberg [2].
    Advisory Committee
  • Tzon-Tzer Lu - chair
  • Tsung-Lin Lee - co-chair
  • Hung-Tsai Huang - co-chair
  • Chieh-Sen Huang - advisor
  • Files
  • etd-0615113-120651.pdf
  • Indicate in-campus at 2 year and off-campus access at 2 year.
    Date of Submission 2013-07-29

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