Adomian's polynomials for nonlinear operators

Mathematical and Computer Modelling

Volumn 24, Issue 1, 1996, Pages 59-65

  Seng, V ^a   Abbaoui, K ^a   Cherruault, Y ^a  

^a SORBONNE UNIVERSITÉ   (France)

Author keywords

Adomian's polynomials; Decomposition method; Navier Stokes equations

Indexed keywords

EID: 0030187555     PISSN: 08957177     EISSN: None     Source Type: Journal    
DOI: 10.1016/0895-7177(96)00080-5     Document Type: Article

References (10)

1. 1. G. Adomian, Nonlinear Stochastic Systems Theory and Applications to Physics, Kluwer, (1989).
2. 2. G. Adomian, Solution of nonlinear evolution equations, Mathl. Comput. Modelling 20 (12), 1-2 (1994).
3. 3. G. Adomian, Solving Frontier Problems of Physics: The Decomposition Method, Kluwer, (1994).
4. 4. L. Schwartz, Cours d'analyse, Hermann, (1981).
5. 5. K. Abbaoui, Y. Cherruault and V. Seng, Practical formulae for the calculus of multivariable Adomian's polynomials, Mathl. Comput. Modelling (to appear).
6. 6. K. Abbaoui and Y. Cherruault, Convergence of Adomian's method applied to differential equations, Mathl. Comput. Modelling 28 (5), 103-109 (1994).
7. 7. K, Abbaoui and Y. Cherruault, New ideas for proving convergence of decomposition methods, Computers Math. Applic. 29 (7), 103-108 (1995).
8. 8. K. Abbaoui and Y. Cherruault, Convergence of Adomian's method applied to nonlinear equations, Mathl. Comput. Modelling 20 (9), 60-73 (1994).
9. 9. Y. Cherruault, Convergence of Adomian's method, Kybernetes 18 (2), 31-38 (1989).
10. 10. A. Caron, Approximations numériques de problèmes non linéaires, Linéarisation et résolution par un algorithme sous contrainte de régularité, Thèse de doctorat de l'Université Pierre et Marie Curie, (1987).