An algorithmic approach for solution of nonlinear Fredholm-Hammerstein integral equations

Document Type : Regular Paper


Department of Mathematics, Faculty of Sciences, University of Guilan, University Campus 2, Rasht, Iran


In this paper, we present a new computational technique for solving nonlinear Fredholm integral equations of the second kind. This proposed method is based on Galerkin method and is computationally very attractive. Moreover, for reducing the operations in comparing similar works, we design our algorithm based on transformations of orthogonal polynomials in approximation coefficients calculating scheme. Finally, for showing the reliability and efficiency of this method, we use some numerical examples.