Numerical solution of Hammerstein equations via an interpolation method K. Maleknejad a, * , M. Karami b , N. Aghazadeh a a School of Mathematics, Iran University of Science & Technology, Narmak, Tehran 16844, Iran b Department of Mathematics, Technical Faculty, Islamic Azad University (South unit), Ahang Blvd., Tehran, Iran Abstract Hammerstein equations are one of the most important cases in non-linear Fredholm integral equations. In this paper, we used a new method based on interpolation, which was introduced in [M.T. Rashed, An expansion method for treat integral equations, Appl. Math. Comput. 135 (2003) 65–72], for numerically solving the Hammerstein equations. We used some numerical examples to illustrate the efficiency and the accu- racy of the method. Ó 2004 Published by Elsevier Inc. Keywords: Non-linear integral equations; Hammerstein equations; Interpolation; Chebyshev points 1. Introduction Consider the Hammerstein equations of the form uðxÞðK WuÞðxÞ¼ gðxÞ; x 2½0; 1; ð1Þ 0096-3003/$ - see front matter Ó 2004 Published by Elsevier Inc. doi:10.1016/j.amc.2004.08.031 * Corresponding author. Address: Department of Mathematics, Faculty of Science, Islamic Azad University, Rajar Shahr, Karaj 3149968111, Iran. E-mail addresses: maleknejad@iust.ac.ir (K. Maleknejad), m_karami@azad.ac.ir (M. Karami), aghazadeh@iust.ac.ir (N. Aghazadeh). Applied Mathematics and Computation 168 (2005) 141–145 www.elsevier.com/locate/amc