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URN etd-0830104-130659 Statistics This thesis had been viewed 3430 times. Download 1150 times. Author Shang-De Chen Author's Email Address firstname.lastname@example.org 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 Date of Defense 2004-07-28 Date of Submission 2004-08-30