Adomian's polynomials for nonlinear operators

Authors:
V. Seng;K. Abbaoui;Y. Cherruault
Affiliations:
Université Paris VI, Laboratoire MEDIMAT 15 Rue de l'Ecole de Médecine, 75270 Paris Cédex 06, France;Université Paris VI, Laboratoire MEDIMAT 15 Rue de l'Ecole de Médecine, 75270 Paris Cédex 06, France;Université Paris VI, Laboratoire MEDIMAT 15 Rue de l'Ecole de Médecine, 75270 Paris Cédex 06, France
Venue:
Mathematical and Computer Modelling: An International Journal
Year:
1996

Citing 3
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Abstract

In this paper, we use the decomposition method for solving an equation of the form u = Nu, where N is nonlinear operator. We also give new formulae for the calculation of Adomian's polynomials for an operator and generalize these results for a multidimensional operator. These new results are then used for solving the Navier-Stokes equations.