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

Journal: Sahand Communications in Mathematical Analysis (Vol.3, No. 1)

Publication Date:

Authors : ;

Page : 37-51

Keywords : Nonlinear two-dimensional integral equations; Bernoulli polynomials; Collocation method; Operational matrices;

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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.

Last modified: 2016-03-06 17:30:01