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Title page for etd-0830104-130659


URN etd-0830104-130659 Statistics This thesis had been viewed 3430 times. Download 1150 times.
Author Shang-De Chen
Author's Email Address cuber1119@yahoo.com.tw
Department Math
Year 2003 Semester 2
Degree Master Type of Document Master's Thesis
Language English Page Count 45
Title Numerical Solutions of Hypersingular Integral Equations Using Special and Radial Basis Functions
Keyword
  • Thin-plate splines
  • Radial basis function
  • Multiquadrics function
  • Hypersingular integral equation
  • Hypersingular integral equation
  • Multiquadrics function
  • Radial basis function
  • Thin-plate splines
  • Abstract                 ABSTRACT
       Numerical solutions of hypersingular integral equations using radial basis functions are investigated. Among these functions multiquadrics functions and thin-plate splines with Legendre polynomials are our choices to approximate the solutions. We also solve a hypersingular integral equation arising in the study of the scattering acoustic wave by Galerkin and Collocation methods. Five numerical examples are given to illustrate our numerical techniques.
    Advisor Committee
  • Fuh-Guo Wang - advisor
  • Files indicate access worldwide
    Date of Defense 2004-07-28 Date of Submission 2004-08-30


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