On Discrete Adomian Decomposition Method with Chebyshev Abscissa for Nonlinear Integral Equations of Hammerstein Type

H. O. Bakodah, Mohamed Abdalla Darwish

Department of Mathematics, Sciences Faculty for Girls, King Abdulaziz University, Jeddah, Saudi Arabia.

DOI: 10.4236/apm.2012.25042                

Abstract

We study approximate solutions of a nonlinear integral equation of Hammerstein type. We describe the principle of discrete Adomian decomposition method (DADM). DADM is considered in the case we evaluate numerical integration by using Chebyshev roots. This technique gives an accurate solutions as will shown by illustrate examples.

Keywords

Discrete Adomian Decomposition Method; Hammerstein; Chebyshev

Conflicts of Interest

The authors declare no conflicts of interest.

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