Hermite collocation method for solving Hammerstein integral equations

In this paper, the numerical solution method for solution of the Fredholm Hammerstein integral equations using Hermite collocation method is presented. We have clearly presented a theory to find ordinary derivatives. In our approach the truncated series of Hermite expansion of functions is used instead of the unknown function. In this approach the integral equation is reduced to algebraic system of equations with Hermite coefficients. The test numerical examples are presented to confirm the validity approach of the advanced method.

Keywords:

Fredholm Hammerstein integral equations , Hermite polynomials