Z-Transformation for Solving Volterra Integral Equations of Convolution Type

Abstract

The proposed method with new algorithm is presented to solve the linear Volterra integral equation (VIE) of convolution type by using the Z-transformation via converting the continuous-time integral equation to a discrete-time equation by using Euler’s rule. The paper has useful properties of the Z-transformation. The results of the proposed method is compared with the Laguerre polynomials and good results are obtained. Four illustrative examples are given for conciliated the accuracy of the results of this proposed method.