He's homotopy perturbation method for systems of integro-differential equations

In this article. the homotopy perturbation method [He JH. Homotopy perturbation technique. Comput Meth Appl Mech Eng 1999:178:257-62: He JH. A coupling method of homotopy technique and perturbation technique for nonlinear problems. Int J nonlinear Mech 2000;35(1):37-43; He JH. Comparison of homotopy perturbation method and homotopy analysis method. Appl Math Comput 2004;156:527-39; He JH. Homotopy perturbation method: it new nonlinear analytical technique. Appl Math Comput 2003;135:73-79; He JH. The homotopy perturbation method for nonlinear oscillators with discontinuities. Appl Math Comput 2004;151:287-92; He JH. Application of homotopy perturbation method to nonlinear wave equations Chaos, Solitons & Fractals 2005;26:695-700] is applied to solve linear and nonlinear systems of integro-differential equations. Some nonlinear examples are presented to illustrate the ability of the method for such system. Examples for linear system are so easy that has been ignored. (C) 2009 Published by Elsevier Ltd.