Department of Mathematics, Faculty of Basic Sciences, Sahand University of Technology, Tabriz, Iran
Abstract
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.
Gholipour, M., & Mokhtary, P. (2015). Discrete Galerkin Method for Higher Even-Order Integro-Differential Equations with Variable Coefficients. Computational Methods for Differential Equations, 3(1), 36-44.
MLA
Mahdiye Gholipour; Payam Mokhtary. "Discrete Galerkin Method for Higher Even-Order Integro-Differential Equations with Variable Coefficients". Computational Methods for Differential Equations, 3, 1, 2015, 36-44.
HARVARD
Gholipour, M., Mokhtary, P. (2015). 'Discrete Galerkin Method for Higher Even-Order Integro-Differential Equations with Variable Coefficients', Computational Methods for Differential Equations, 3(1), pp. 36-44.
VANCOUVER
Gholipour, M., Mokhtary, P. Discrete Galerkin Method for Higher Even-Order Integro-Differential Equations with Variable Coefficients. Computational Methods for Differential Equations, 2015; 3(1): 36-44.
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