Numerical Methods for Solving the System of Volterra-Fredholm Integro-Differential Equations.

Abstract

In this paper, we defined the system of Volterra-Fredholm integro-differential equations of the second kind with the initial conditions. The solution for this equation is introduced by using the modified decomposition method. An algorithm is applied to get that solution. Moreover, we generated some examples and discussed to illustrate the employment of the method.

Keywords

• System of integro-differential equations; Linear Volterra-Fredholm;; Modified decomposition method.