APPLICATION OF DIFFERENTIAL TRANSFORMS FOR SOLVING THE VOLTERRA INTEGRO-PARTIAL DIFFERENTIAL EQUATIONS

In this paper, first the properties of one and two-dimensional differential transforms are presented. Next, by using the idea of differential transform, we will present a method to find an approximate solution for a Volterra integro-partial differential equations. This method can be easily applied to many linear and nonlinear problems and is capable of reducing computational works. In some particular cases, the exact solution may be achieved. Finally, the convergence and efficiency of this method will be discussed with some examples which indicate the ability and accuracy of the method.