Approximate solution of the stochastic Volterra integral equations via expansion method

In this paper, we present an ecient method for determining the solution of the stochastic second kindvolterra integral equations (svie) by using the taylor expansion method. this method transforms thesvie to a linear stochastic ordinary dierential equation which needs specified boundary conditions.for determining boundary conditions, we use the integration technique. this technique gives anapproximate simple and closed form solution for the svie. expectation of the approximating processis computed. some numerical examples are used to illustrate the accuracy of the method.