Numerical Solutions of Two-dimensional Linear and Nonlinear Volterra Integral Equations: Homotopy Perturbation Method and Differential Transform Method

In this paper, He’s homotopy perturbation method is applied to solve two-dimensional linear and nonlinear Volterra integral equations. Then homotopy perturbation method (HPM) is compared with the differential transform method (DTM) for solving two dimensional integral equations. We also give some examples to demonstrate the accuracy of the method. From the computational view point, the homotopy perturbation method is more efficient and easy to use