In this research, numerical solution of the linear and nonlinear Volterra and Fredholmintegral equations are investigated by using Bell polynomials. This attempt includes threechapters which are organized as follows: Chapter1is devoted to fundamental conceptsof Bell polynomials, expanded functions based on these polynomials and computation oftheir operational matrix of integration. In chapter2, we apply these polynomials to getthe numerical solution of linear and nonlinear Fredholm integral equations. Numericalsolution of linear and nonlinear Volterra integral equations is presented in Chapter3.Also, several numerical examples are included at the end of each chapter to reveal theaccuracy and effectiveness of our work.
