Numerical solution of Hammerstein equations via an interpolation method

摘要

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 accuracy of the method.