Equivalence between homotopy perturbation method and Adomian decomposition method in solving two dimensional linear Fredholm integral equations

Abstract

Articles you may be interested inThe solution of high dimensional Fredholm integral equations using homotopy perturbation method AIP Conf. Proc. 1635, 52 (2014); 10.1063/1.4903562 Numerical solution of Fredholm-Hammerstein integral equations by using optimal homotopy asymptotic method and homotopy perturbation method AIP Conf. Proc. 1605, 90 (2014); 10.1063/1.4887570Identifying an unknown function in a parabolic equation by homotopy analysis method and comparison with the adomian decomposition method AIP Conf.Abstract. In this study, we present comparison between the ADM and the HPM for solving two-dimensional linear Fredholm integral equations. The analytical results revealed that the two methods give same solution for solving twodimensional linear Fredholm integral equations. Moreover, these methods are powerful and easy to implement.