On the solution of the non-linear Korteweg-de Vries equation by the decomposition method

Kybernetes

Volumn 31, Issue 5-6, 2002, Pages 766-772

  Cherruault, Y ^a   Inc, M ^a   Abbaoui, K ^a  

^a SORBONNE UNIVERSITÉ   (France)

Author keywords

Cybernetics; Decomposition method

Indexed keywords

CONVERGENCE OF NUMERICAL METHODS; INTEGRODIFFERENTIAL EQUATIONS; MATHEMATICAL OPERATORS; STOCHASTIC CONTROL SYSTEMS;

CONVERGENT POWER SERIES;

NONLINEAR EQUATIONS;

EID: 0036374438     PISSN: 0368492X     EISSN: None     Source Type: Journal    
DOI: 10.1108/03684920210428263     Document Type: Article

References (12)

1. Convergence of Adomian's method applied to non-linear equations
2. A review of the decomposition method in applied mathematics
3. Noise terms in decomposition solution, series, computers
4. Decomposition methods: A new proof of convergence
5. New results for convergence of Adomian's method applied to integral equations
6. On the change of from of long waves advancing in a rectangular channel and on a new type of long stationary waves
7. Asymptotic theory of unsteady three-dimensional waves in a channel of arbitrary cross section
8. A new approach to the non-linear advection problem: An application of the decomposition method
9. Necessary conditions for the appearance of noise terms in decomposition solution series