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

Authors

sohrab bazm

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:
sahand communications in mathematical analysis

Publisher: university of maragheh

ISSN 2322-5807

volume 3

issue 1 2016

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