Author:
Abbaoui K.,Pujol M.J.,Cherruault Y.,Himoun N.,Grimalt P.
Abstract
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 included.
Subject
Computer Science (miscellaneous),Social Sciences (miscellaneous),Theoretical Computer Science,Control and Systems Engineering,Engineering (miscellaneous)
Reference16 articles.
1. Abbaoui, K. (1995), “Les fondements mathématiques de la méthode décompositionnelle d’Adomian et application à la résolution des équations issues de la Biologie et de la Médecine”, Thèse de Doctorat de l’Université de Paris VI.
2. Abbaoui, K. and Cherruault, Y. (1994a), “Convergence of the Adomian method applied to non‐linear equations”, Mathematical and Computer Modelling, Vol. 20 No. 9, pp. 60‐73.
3. Abbaoui, K. and Cherruault, Y. (1994b), “Convergence of Adomian method applied to differential equations”, Mathematical and Computer Modelling, Vol. 28 No. 5, pp. 103‐9.
4. Abbaoui, K., Cherruault, Y. and Seng, V. (1995), “Practical formulae for the calculus of multivariable Adomian polynomials”, Mathematical and Computer Modelling, Vol. 22 No. 1, pp. 89‐93.
5. Berge, C. (1988), Principes de Combinatoire, Dunod, Paris.
Cited by
49 articles.
订阅此论文施引文献
订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献