Integral Formulae of Bernoulli Polynomials

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

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 efficien...

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numerical solution of a class of nonlinear two-dimensional integral equations using bernoulli polynomials

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 efficien...

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ژورنال

عنوان ژورنال: Discrete Dynamics in Nature and Society

سال: 2012

ISSN: 1026-0226,1607-887X

DOI: 10.1155/2012/269847