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Title

NUMERICAL SOLUTION OF NONLINEAR TWO-DIMENSIONAL INTEGRAL EQUATIONS ON NON-RECTANGULAR DOMAINS USING RADIAL BASIS FUNCTIONS

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Abstract

 IN THIS PAPER, WE INTRODUCE A METHOD FOR SOLVING THE NONLINEAR TWO-DIMENSIONAL INTEGRAL EQUATIONS ON NON-RECTANGULAR DOMAINS. THE METHOD IS BASED ON INTERPOLATION BY RADIAL BASIS FUNCTIONS (RBFS) BASED ON LEGENDRE-GAUSS (LG) POINTS AND WEIGHTS. SOME NUMERICAL EXAMPLES ARE PRESENTED TO SHOW THE ABIL-ITY AND VALIDITY OF THE METHOD.

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