Numerical solution of a class of nonlinear two-dimensional integral equations using Bernoulli polynomials
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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.
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Journal title
volume 03 issue 1
pages 37- 51
publication date 2016-02-01
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