In this paper, a homotopy perturbation method is proposed to solve non-singular
integral equations. Comparisons are made between Adomian's decomposition method
and the proposed method. It is shown, Adomian's decomposition method is a homotopy,
only. Finally, by using homotopy perturbation method, a new iterative scheme,
like Adomian's decomposition method, is proposed for solving the non-singular integral
equations of the first kind. The results reveal that the proposed method is very effective
and simple.
کلید واژگان :
Homotopy perturbation method; Fredholm integral equations; Adomian's decomposition method
