University of Tabriz Computational Methods for Differential Equations 2345-3982 10 4 2022 10 01 On the numerical scheme for solving non-linear two-dimensional Hammerstein integral equations 1059 1074 14208 10.22034/cmde.2022.47106.1974 EN Manochehr Kazemi Department of Mathematics, Ashtian Branch, Islamic Azad University, Ashtian, Iran. Mohammad Reza Doostdar Department of mathematics, Zarandieh Branch, Islamic Azad University, Zarandieh, Iran. Journal Article 2021 07 21 In this work, solving non-linear two-dimensional Hammerstein integral equations is considered by an iterative method of successive approximation. This method is an efficient approach based on a combination of the quadrature formula and the successive approximations method. Also, the convergence analysis and the numerical stability of the suggested method are studied. Finally, to survey the accuracy of the present method, some numerical experiments are given.  https://cmde.tabrizu.ac.ir/article_14208_ad6012e8987b76fb0a3d91a7221634af.pdf