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Title page for etd-0823110-235436


URN etd-0823110-235436 Statistics This thesis had been viewed 1703 times. Download 9 times.
Author Guo-Cheng Hong
Author's Email Address No Public.
Department Math
Year 2009 Semester 2
Degree Master Type of Document Master's Thesis
Language zh-TW.Big5 Chinese Page Count 68
Title On Solving Fredholm Integro-Differential Equations Using
Semiorthoganal Spline Wavelets
Keyword
  • linear Fredholm integral equations of second ord
  • B-spline wavelet
  • linear semi-orthogonal B-spline wavelet
  • scaling functions
  • B-spline functions
  • B-spline functions
  • scaling functions
  • linear semi-orthogonal B-spline wavelet
  • B-spline wavelet
  • linear Fredholm integral equations of second ord
  • Abstract We apply semiorthoganal B-spline wavelets to solve Fredholm integro-differential equations on the interval [0, 1].
    First, the unknown function in the integro-differential equation is expanded as linear B-spline wavelets with unknown coefficients. These wavelets are differentiablemany times as the basis functions of finite element method and can be utilized to develop a set of algebraic equations. Then the equations are solved to obtain the approximate solution of the integro-differential equation.
    The formulation of B-spline wavelets with scaling functions is described in detail. We also derive the matrices that will be used in solving Fredholm integro-differential equations.
    Finally, numerical examples are illustrated to demonstrate the accuracy of our
    numerical method.
    Advisor Committee
  • Fuh-Gwo Wang - advisor
  • Files indicate in-campus access only
    Date of Defense 2010-07-21 Date of Submission 2010-08-24


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