Bernoulli polynomials for the numerical solution of some classes of linear and nonlinear integral equations

A new operational matrix for integration of Bernoulli polynomials is introduced. By using this new operational matrix of integration and the so-called collocation method, linear Volterra and nonlinear Volterra-Fredholm-Hammerstein integral equations are reduced to systems of algebraic equations with unknown Bernoulli coefficients. Some error estimations are provided and illustrative examples are also included to demonstrate the efficiency and applicability of the technique. (C) 2014 Elsevier B.V. All rights reserved.