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Sohrab Bazm

Sohrab Bazm

Academic rank: Associate Professor
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Education: PhD.
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Faculty: 1
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Research

Title
NUMERICAL SOLUTION OF A CLASS OF NONLINEAR TWO-DIMENSIONAL INTEGRAL EQUATIONS USING BERNOULLI POLYNOMIALS
Type
JournalPaper
Keywords
Nonlinear two-dimensional integral equations, Bernoulli polynomials, Collocation method, Operational matrices
Year
2016
Journal Sahand Communications in Mathematical Analysis
DOI
Researchers Sohrab Bazm

Abstract

In this study, the Bernoulli polynomials are used to ob tain an approximate solution of a class of nonlinear two-dimensional integral equations. To this aim, the operational matrices of inte- gration 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 eciency and accuracy of the method.