Numerical solution of nonlinear integral equations by Galerkin methods with hybrid Legendre and Block-Pulse functions

In this paper, we use a combination of Legendre and Block-Pulse functions on the interval [0, 1] to solve the nonlinear integral equation of the second kind. The nonlinear part of the integral equation is approximated by Hybrid Legendre Block-Pulse functions, and the nonlinear integral equation is reduced to a system of nonlinear equations. We give some numerical examples. To show applicability of the proposed method.