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URN etd-0823106-152923 Statistics This thesis had been viewed 3488 times. Download 1323 times. Author Yu-Shiang Huang Author's Email Address No Public. Department Math Year 2005 Semester 2 Degree Master Type of Document Master's Thesis Language English Page Count 40 Title SOLUTIONS OF SYSTEMS OF LINEAR FREDHOLM-VOLTERRA INTEGRO-DIFFERENTIAL EQUATIONS BY USING CHEBYSHEV POLYNOMIALS Keyword Chebyshev collocation method Chebyshev collocation points Chebyshev polynomials Chebyshev polynomials Chebyshev collocation points Chebyshev collocation method Abstract A matrix method called the Chebyshev collocation method is used to solve a systems of higher-order linear integro-differential equations numerically. We use truncated Chebyshev series and Chebyshev collocation points to transform the systems of integro-differential equations and the given conditions into the matrix equations . The method can be proposed to obtain approximate solution and analytical solution of IDEs .Since size of the matrices created by the method are large ,this allow us to use mathematical software . Advisor Committee Fuh-Kwo Wang - advisor
Files Date of Defense 2006-07-31 Date of Submission 2006-08-23