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The defense date of the thesis is 2010-08-24
The current date is 2019-05-24
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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
Advisor Committee Fuh-Gwo Wang - advisor
Files Date of Defense 2010-07-21 Date of Submission 2010-08-24