Sur la convergence de la méthode d'Adomian

Y. Cherruault

RAIRO - Operations Research - Recherche Opérationnelle (1988)

  • Volume: 22, Issue: 3, page 291-299
  • ISSN: 0399-0559

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Cherruault, Y.. "Sur la convergence de la méthode d'Adomian." RAIRO - Operations Research - Recherche Opérationnelle 22.3 (1988): 291-299. <http://eudml.org/doc/104944>.

@article{Cherruault1988,
author = {Cherruault, Y.},
journal = {RAIRO - Operations Research - Recherche Opérationnelle},
keywords = {decomposition methods; convergence; Adomian's method; nonlinear functional equations},
language = {fre},
number = {3},
pages = {291-299},
publisher = {EDP-Sciences},
title = {Sur la convergence de la méthode d'Adomian},
url = {http://eudml.org/doc/104944},
volume = {22},
year = {1988},
}

TY - JOUR
AU - Cherruault, Y.
TI - Sur la convergence de la méthode d'Adomian
JO - RAIRO - Operations Research - Recherche Opérationnelle
PY - 1988
PB - EDP-Sciences
VL - 22
IS - 3
SP - 291
EP - 299
LA - fre
KW - decomposition methods; convergence; Adomian's method; nonlinear functional equations
UR - http://eudml.org/doc/104944
ER -

References

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  1. 1. G. ADOMIAN et G. E. ADOMIAN, A Global Method for Solution of Complex Systems, Math. Modelling, vol. 5, 1984, p. 251-263. Zbl0556.93005MR768513
  2. 2. G. ADOMIAN et R. RACH, On the Solution of Algebraic Equations by the Decomposition Method, Math. Analysis and Applications, vol. 105, n° 1, 1985, p. 141-166. Zbl0552.60060
  3. 3. G. ADOMIAN, R. RACH et D. SARAFYAN, On the Solution of Equations Containing Radicals by the Decomposition Method, Journal of Math. Anal, and Applications, vol. 111, n° 2, 1985, p. 423-426. Zbl0579.60060
  4. 4. G. ADOMIAN et R. RACH, Nonlinear Stochastic Differential Delay Equations, J. of Math. Anal, and applications, vol. 91, n° 1, 1983. Zbl0504.60067MR688534
  5. 5. G. ADOMIAN et R. RACH, Inversion of Nonlinear Stochastic Operators, J. of Math. Anal, and Applic, vol. 91, n° 1, 1983. Zbl0504.60066MR688530
  6. 6. G. ADOMIAN et D. SARAFYAN, Numerical Solution of Biffer ential Equations in the Deterministie Limit of Stochastic Theory, Applied Math, and Computation, vol. 8, 1981, p. 111-119. Zbl0466.65046MR611397
  7. 7. G. ADOMIAN, Nonlinear Stochastic Dynamical Systems in Physical Problems, J. of Math. Anal. and Applications, vol. 111, n° 1, 1985. Zbl0582.60067MR808665
  8. 8. G. ADOMIAN et R. RACH, Polynomial Nonlinearities in Differential Equations, J. of Math. Anal, and Ap., vol. 109, n° 1, 1985. Zbl0606.34009MR796044
  9. 9. G. ADOMIAN, Convergent Series Solution of Nonlinear Equations, Journal of Comput. and Ap. Math., 11, 1984, p. 225-230. Zbl0549.65034
  10. 10. G. ADOMIAN, On the Convergence Region for Decomposition Solutions, Journal of Comp. and Ap. Math., vol. 11, 1984, p. 379-380. Zbl0547.65053MR777113
  11. 11. G. ADOMIAN, G. E. ADOMIAN et R. E. BELLMAN, Biological System Interactions, Proc. Natl. Acad. Sci. U.S.A., vol. 81, 1984, p. 2938-2940. Zbl0534.92003
  12. 12. R. BELLMAN et G. ADOMIAN, Partial Differential Equations, Reidel, 1985. Zbl0557.35003MR783825
  13. 13. L. CHAMBADAL, Dictionnaire de Mathématiques, Hachette, 1981. Zbl0574.00008MR683762
  14. 14. Y. CHERRUAULT, Mathematical Modelling in Biomedicine. Optimal Control of Biomedical Systems, Reidel, 1986. MR840658
  15. 15. T. L. SAATY et J. BRAM, Nonlinear Mathematics, McGraw Hill, 1964. Zbl0198.00102MR164812
  16. 16. M. SIBONY, Une méthode itérative pour les inéquations variationnelles non linéaires, Rapport I.N.R.I.A., 1968. 
  17. 17. M. SIBONY, Méthodes d'approximation pour les équations et inéquations non linéaires de type monotone, Rapport I.N.R.I.A., 1968. Zbl0225.35010

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