University of MaraghehSahand Communications in Mathematical Analysis2322-580703120160201Numerical solution of a class of nonlinear two-dimensional integral equations using Bernoulli polynomials375115994ENSohrabBazmDepartment of Mathematics, Faculty of Science, University of Maragheh, Maragheh, Iran.0000-0002-1531-6636Journal Article20151029In this study, the Bernoulli polynomials are used to obtain an approximate solution of a class of nonlinear two-dimensional integral equations. To this aim, the operational matrices of integration and the product for Bernoulli polynomials are derived and utilized to reduce the considered problem to a system of nonlinear algebraic equations. Some examples are presented to illustrate the efficiency and accuracy of the method.https://scma.maragheh.ac.ir/article_15994_6d676e68a2b7a882c1334cdc50d1acf4.pdf