Bazm, S. (2016). Numerical solution of a class of nonlinear two-dimensional integral equations using Bernoulli polynomials. Sahand Communications in Mathematical Analysis, 03(1), 37-51.
Sohrab Bazm. "Numerical solution of a class of nonlinear two-dimensional integral equations using Bernoulli polynomials". Sahand Communications in Mathematical Analysis, 03, 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, 03(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; 03(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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