Convergence of approximate solution of nonlinear Fredholm–Hammerstein integral equations

In this paper, we propose the cubic semiorthogonal compactly supported B-spline wavelets as a basis functions for solution of nonlinear Fredholm–Hammerstein integral equations of the second kind. Properties of these wavelets and some operational matrices are first presented. These properties are then used to reduce integral equations to some algebraic equations. The exponential convergence rate of the method, O(2-4j)O(2-4j), is proved. The method is computationally attractive, and applications are demonstrated through illustrative examples.