This paper presents a computational technique for the solution of the nonlinear Fredholm-Hammerstein integral and integrodifferential equations. A hybrid of block-pulse functions and the second kind Chebyshev polynomials (hereafter called as HBC) is used to approximate the nonlinear Fredholm-Hammerstein integral and integro-differential equations. The main properties of HBC are presented. Also, the operational matrix of integration together with the Newton-Cotes nodes are applied to reduce the computation of the nonlinear Fredholm-Hammerstein integral and integrodifferential equations into some algebraic equations. The efficiency and accuracy of the proposed method have been shown by three numerical examples.
Mirzaee, F. and Hadadiyan, E. (2013). A collocation method to the solution of nonlinear fredholm-hammerstein integral and integro-differential equation. Journal of Hyperstructures, 2(1), 72-86. doi: 10.22098/jhs.2013.2556
MLA
Mirzaee, F. , and Hadadiyan, E. . "A collocation method to the solution of nonlinear fredholm-hammerstein integral and integro-differential equation", Journal of Hyperstructures, 2, 1, 2013, 72-86. doi: 10.22098/jhs.2013.2556
HARVARD
Mirzaee, F., Hadadiyan, E. (2013). 'A collocation method to the solution of nonlinear fredholm-hammerstein integral and integro-differential equation', Journal of Hyperstructures, 2(1), pp. 72-86. doi: 10.22098/jhs.2013.2556
CHICAGO
F. Mirzaee and E. Hadadiyan, "A collocation method to the solution of nonlinear fredholm-hammerstein integral and integro-differential equation," Journal of Hyperstructures, 2 1 (2013): 72-86, doi: 10.22098/jhs.2013.2556
VANCOUVER
Mirzaee, F., Hadadiyan, E. A collocation method to the solution of nonlinear fredholm-hammerstein integral and integro-differential equation. Journal of Hyperstructures, 2013; 2(1): 72-86. doi: 10.22098/jhs.2013.2556
)