Generalizing Homotopy Analysis Method to Solve System of Integral Equations

This paper presents the application of the Homotopy Anal- ysis 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.