A Comparison Between the Variational Iteration Method and Trapezoidal Rule for Solving Linear Integro-Differential Equations

Abstract

Abstract: Two numerical methods for solving the linear integro-differential equations is presented and compared. First method, based upon Trapezoidal rule and numerical differentiation, transforms the integrodifferential equation into a system of linear algebraic equations. The simplicity of the method makes it perfect for many applications. Second method, is variational iteration method. Finally, some numerical examples are presented to compare the accuracy of the methods. Comparisons with the Trapezoidal rule reveal that the VIM is very effective and convenient. Key words:Fredholm Volterra integro Differential equations Trapezoidal rule Finite differentiation Variational iteration method