Numerical method for solving a kind of Volterra integral equation using differential transform method

In this paper we use differential transform method for solving nonlinear and linear Volterra integral equation with the kernel ask(x-t) by using an efficient technique. We approximate the kernel of integral equation with Taylor series and make integral equation simpler by using some techniques that when we use differential transform method, we do not need difficult computation. Note that without this technique, solving integral equation by DTM method will be hard. Through some examples, we have shown the application of these techniques and differential transform method.