...K. Abbaoui; M.J. Pujol; Y. Cherruault; N. Himoun; P. Grimalt A new approach of the decomposition method (Adomian) in which the Adomian scheme is obtained in a more natural way than in the classical presentation, is given. A new condition for obtaining convergence of the decomposition series is also...

...K. Abbaoui; Y. Cherruault In this paper, we use the decomposition method for solving the Cauchy problem without using the canonical form of Adomian. We also give proof of convergence by using a new formulation of the Adomain polynomials and we compare our technique with the Picard method...