%0 Journal Article %T Discrete Galerkin Method for Higher Even-Order Integro-Differential Equations with Variable Coefficients %J Computational Methods for Differential Equations %I University of Tabriz %Z 2345-3982 %A Gholipour, Mahdiye %A Mokhtary, Payam %D 2015 %\ 01/01/2015 %V 3 %N 1 %P 36-44 %! Discrete Galerkin Method for Higher Even-Order Integro-Differential Equations with Variable Coefficients %K Discrete Galerkin method %K Generalized Jacobi polynomials %K Higher even-order Integro-Differential Equations %R %X This paper presents discrete Galerkin method for obtaining the numerical solution of higher even-order integro-differential equations with variable coefficients. We use the generalized Jacobi polynomials with indexes corresponding to the number of homogeneous initial conditions as natural basis functions for the approximate solution. Numerical results are presented to demonstrate the effectiveness and wellposedness of the proposed method. In addition, the results obtained are compared with those obtained by well known Pseudospectral method, thereby confirming the superiority of our proposed scheme. %U https://cmde.tabrizu.ac.ir/article_3799_b43e56719f7a409023def050c681084e.pdf