University of MaraghehSahand Communications in Mathematical Analysis2322-580703120160201Numerical solution of a class of nonlinear two-dimensional integral equations using Bernoulli polynomials375115994ENSohrab BazmDepartment of Mathematics, Faculty of Science, University of Maragheh, Maragheh, Iran.Journal 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.http://scma.maragheh.ac.ir/article_15994_6d676e68a2b7a882c1334cdc50d1acf4.pdf