A Chebyshev Polynomial Approach for High-Order Linear Fredholm-Volterra Integro-Differential Equations

Authors : Gamze Yuksel, Mehmet Sezer, Mustafa Gulsu

Pages : 393-401

View : 14 | Download : 7

Publication Date : 2012-04-17

Article Type : Other

Abstract :The purpose of this study is to present a method for solving high order linear Fredholm-Volterra integro-differential equations in terms of Chebyshev polynomials under the mixed conditions. The method is based on the approximation by the truncated Chebyshev series. The higher order linear Fredholm-Volterra integro-differential equations and the conditions are transformed into the matrix equations, which corresponds to a system of linear algebraic equations with the unknown Chebyshev coefficients. Combining these matrix equations and then solving the system yields the Chebyshev coefficients of the solution function. Finally, the effectiveness of the method is illustrated in several numerical experiments and error analysis is performed.   Keywords: Chebyshev polynomials, Fredholm-Volterra integral equations, Polynomial approximations  
Keywords : Chebyshev polynomials, Fredholm-Volterra integral equations, Polynomial approximations