Improvement of convergence of Adomian's method using Padé approximants

Kybernetes

Volumn 31, Issue 5-6, 2002, Pages 884-895

  Chrysos, M ^a   Sanchez, F ^a   Cherruault, Y ^a  

^a UNIVERSITÉ D'ANGERS   (France)

Author keywords

Adomian cybernetics; Non linearity

Indexed keywords

ADOMIAN; APPROXIMANTS; INFINITE SERIES; NON-LINEARITY; NONLINEAR TERMS; PADE APPROXIMANTS;

EID: 0036376269     PISSN: 0368492X     EISSN: None     Source Type: Journal    
DOI: 10.1108/03684920210432835     Document Type: Article

References (18)

1. Convergence of Adomian's method applied to differential equations
2. Practical formulae for the calculus of multivariable Adomian polynomials
3. A review of the decomposition method and some recent results for nonlinear equations
4. Limiting effects in absorptive bistability
5. Decomposition methods: A new proof of convergence
6. On the self-generation of asymptotic boundary conditions in energy quantization
7. Optimum mode criterion for low-gain lasers
8. Optical bistability in a coupled fiber ring resonator system with nonlinear absorptive medium
9. Optimum laser beam profile for maximum energy extraction from a saturable absorber
10. Cumulative reaction probabilities using Padé analytical continuation procedure
11. Padé approximants via the continued fraction approach
12. Pump-saturation effects in end-pumped solid-state lasers
13. Optimum signal profile in longitudinally pumped three-level amplifiers
14. Beyond the thin-sheet approximation: Adomian's decomposition