Title page for etd-0705115-143616


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URN etd-0705115-143616
Author Fang-hsin Liu
Author's Email Address No Public.
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Department Applied Mathematics
Year 2014
Semester 2
Degree Master
Type of Document
Language English
Title A continuation algorithm embedded in the radial basis function collocation method for Gross-Pitaevskii equation.
Date of Defense 2015-06-24
Page Count 34
Keyword
  • radial basis function
  • continuation method
  • collocation method
  • Gross-Pitaevskii equation
  • inverse multiquadric function
  • Abstract We compute the numerical solution of Gross-Pitaevskii equation by a continuation algorithm embedded in the radial basis function collocation method. The equation is interpolated by a linear combination of the inverse multiquadric functions under uniform grid points. The exact solution of the linear portion of the equation is taken as the initial value, and the other nonlinear parts, scattering term and rotating term, are independently extended by continuation algorithm. The numerical experiments show that under such formulation, the convergent regions are quite large in the correction process so that it usually converges to a numerical solution even when passing a singular point.
    Advisory Committee
  • Tzon-Tzer Lu - chair
  • Yueh-Cheng Kuo - co-chair
  • Chieh-Sen Huang - co-chair
  • Tsung-Lin Lee - advisor
  • Files
  • etd-0705115-143616.pdf
  • Indicate in-campus at 99 year and off-campus access at 99 year.
    Date of Submission 2015-08-05

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