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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 nonlinear two-dimensional Fredholm integral equations of the second kind using Gauss product quadrature rules
Type
JournalPaper
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Year
2012
Journal Communications in Nonlinear Science and Numerical Simulation
DOI
Researchers Sohrab Bazm ،

Abstract

The Gauss product quadrature rules and collocation method are applied to reduce the second-kind nonlinear two-dimensional Fredholm integral equations (FIE) to a nonlinear system of equations. The convergence of the proposed numerical method is proved under certain conditions on the kernel of the integral equation. An iterative method for approximating the solution of the obtained nonlinear system is provided and its convergence is proved. Also, some numerical examples are presented to show the efficiency and accuracy of the proposed method.