@article{article_546480, title={On the numerical solution of Hammerstein integral equations using shifted Chebyshev polynomials of the third kind method}, journal={New Trends in Mathematical Sciences}, volume={5}, pages={273–283}, year={2017}, author={Mahdy, Amr M. S. and Mohamed, Emad M.h.}, keywords={Fredholm-Hammerstein integral equations,Volterra integral equation,shifted Chebyshev polynomials of the third kind method}, abstract={In this paper, shifted Chebyshev polynomials of the third kind method is presented to solve numerically the Fredholm, Volterra-Hammerstein integral equations. The proposed method converts the equation system of linear or non-linear algebraic equations, which can be solved. Some numerical examples are included to demonstrate the validity and applicability of the proposed technique. All computations are done using Mathematica 7.}, number={3}, publisher={Mustafa BAYRAM}