Bazm, S. (2016). Numerical solution of a class of nonlinear two-dimensional integral equations using Bernoulli polynomials. Sahand Communications in Mathematical Analysis, 3(1), 37-51.

Sohrab Bazm. "Numerical solution of a class of nonlinear two-dimensional integral equations using Bernoulli polynomials". Sahand Communications in Mathematical Analysis, 3, 1, 2016, 37-51.

Bazm, S. (2016). 'Numerical solution of a class of nonlinear two-dimensional integral equations using Bernoulli polynomials', Sahand Communications in Mathematical Analysis, 3(1), pp. 37-51.

Bazm, S. Numerical solution of a class of nonlinear two-dimensional integral equations using Bernoulli polynomials. Sahand Communications in Mathematical Analysis, 2016; 3(1): 37-51.

Numerical solution of a class of nonlinear two-dimensional integral equations using Bernoulli polynomials

^{}Department of Mathematics, Faculty of Science, University of Maragheh, Maragheh, Iran.

Abstract

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.

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