On the numerical solution of Hammerstein integral equations using shifted Chebyshev polynomials of the third kind method

Yıl 2017, Cilt: 5 Sayı: 3, 273 - 283, 01.07.2017

Amr M. S. Mahdy Emad M.h. Mohamed

Öz

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.

Anahtar Kelimeler

Fredholm-Hammerstein integral equations , Volterra integral equation , shifted Chebyshev polynomials of the third kind method

Kaynakça

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