The Use of Finite Difference Method, Homotopy Perturbation Method and Variational Iteration Method for a Special Type of Linear Fredholm Integro-differential Equations

Special type of linear Fredholm integro-differential equations is considered. In this research, two analytical methods, called homotopy-perturbation method (HPM) and variational iteration method (VIM) and one numerical method, finite difference method are used for solving these equations. The results of applying these methods to the linear integro-differential equation show the simplicity and efficiency of these methods