Analytical solution of systems of Volterra integro-differential equations using modified differential transform method

In this paper, a hybrid technique based on the combining of differential transform approach, Laplace transformation, and Pade approximant is successfully implemented for solving Volterra Integro (VID) equations subject to appropriate conditions. The proposed method known as modified (MDTM) enlarges domain convergence with less computational time. One interesting features algorithm ability produce an analytic approximate solution in convergent power series form few numbers computable terms. Preliminary results some test problems show that new efficient promising integro-differential can be applied alternatives integral (IID) equation have no analytical solution.