Generalizing Homotopy Analysis Method to Solve System of Integral Equations

This paper presents the application of the homotopy analysis method (ham) and homotopy perturbation method (hpm) for solving systems of integral equations. ham and hpm are two ana-lytical methods to solve linear and nonlinear equations which can be used to obtain the numerical solution. the ham contains the auxiliary parameter h, provide us with a simple way to adjust and control the convergence region of solution series. the results show that ham is a very e±cient method and that hpm is a special case of ham.