University of Tabriz Computational Methods for Differential Equations 2345-3982 3 1 2015 01 01 Discrete Galerkin Method for Higher Even-Order Integro-Differential Equations with Variable Coefficients 36 44 3799 EN Mahdiye Gholipour Department of Mathematics, Faculty of Basic Sciences, Sahand University of Technology, Tabriz, Iran Payam Mokhtary Department of Mathematics, Faculty of Basic Sciences, Sahand University of Technology, Tabriz, Iran Journal Article 2015 06 18 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. https://cmde.tabrizu.ac.ir/article_3799_b43e56719f7a409023def050c681084e.pdf