TY - JOUR ID - 14208 TI - On the numerical scheme for solving non-linear two-dimensional Hammerstein integral equations JO - Computational Methods for Differential Equations JA - CMDE LA - en SN - 2345-3982 AU - Kazemi, Manochehr AU - Doostdar, Mohammad Reza AD - Department of Mathematics, Ashtian Branch, Islamic Azad University, Ashtian, Iran. AD - Department of mathematics, Zarandieh Branch, Islamic Azad University, Zarandieh, Iran. Y1 - 2022 PY - 2022 VL - 10 IS - 4 SP - 1059 EP - 1074 KW - fixed point theorem KW - Hammerstein integral equations KW - Quadrature formula KW - Iterative method DO - 10.22034/cmde.2022.47106.1974 N2 - 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.  UR - https://cmde.tabrizu.ac.ir/article_14208.html L1 - https://cmde.tabrizu.ac.ir/article_14208_ad6012e8987b76fb0a3d91a7221634af.pdf ER -