%0 Journal Article
%T Numerical solution of a class of nonlinear two-dimensional integral equations using Bernoulli polynomials
%J Sahand Communications in Mathematical Analysis
%I University of Maragheh
%Z 2322-5807
%A Bazm, Sohrab
%D 2016
%\ 02/01/2016
%V 03
%N 1
%P 37-51
%! Numerical solution of a class of nonlinear two-dimensional integral equations using Bernoulli polynomials
%K Nonlinear two-dimensional integral equations
%K Bernoulli polynomials
%K Collocation method
%K Operational matrices
%R
%X In 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.
%U http://scma.maragheh.ac.ir/article_15994_6d676e68a2b7a882c1334cdc50d1acf4.pdf