Damghan University Press Analytical and Numerical Solutions for Nonlinear Equations 3060-785X 6 1 2021 08 01 An Iterative Method for Solving Two Dimensional Nonlinear Volterra Integral Equations 41 57 195 10.22128/gadm.2021.383.1036 EN Manochehr Kazemi Department of Mathematics, Ashtian Branch, Islamic Azad University, Ashtian, Iran 0000-0001-8392-6690 Journal Article 2020 11 22 In this paper, a numerical iterative algorithm based on combination of the successive approximations method and the quadrature formula for solving two-dimensional nonlinear Volterra integral equations is proposed. This algorithm uses a trapezoidal quadrature rule for Lipschitzian functions applied at each iterative step. The convergence analysis and error estimate of the method are proved. Finally, two numerical examples are presented to show the accuracy of the proposed method. Two-dimensional nonlinear integral equations Trapezoidal cubature formula Iterative method Successive approximations https://ansne.du.ac.ir/article_195_81e88c6657d11588350c1deb1094e8ca.pdf