Application of the Adomian method for solving a class of boundary problems-Reference-Cited by-同舟云学术

Application of the Adomian method for solving a class of boundary problems

Published:2004-01-01 Issue:1 Volume:33 Page:118-132
ISSN:0368-492X
Container-title:Kybernetes
language:en
Short-container-title:

Author:

Benabidallah Mohamed,Cherruault Yves

Abstract

This paper considers the numerical solution of a class of boundary problems using the Adomian decomposition method. The method is applied to non‐linear differential equations with initial and boundary conditions. Concludes that this method produces very good results.

Publisher

Emerald

Subject

Computer Science (miscellaneous),Social Sciences (miscellaneous),Theoretical Computer Science,Control and Systems Engineering,Engineering (miscellaneous)

Reference8 articles.

1. Abbaoui, K. (1995), “Les fondements mathématiques de la méthode décompositionnellle d'Adomian et application à la résolution de problèmes issus de la biologie et de la médecine”, Thèse de doctorat de l'université Pierre et Marie Curie, Paris.

2. Adomian, G. (1984), “Convergent series solutions of nonlinear equations”, Comput and Appli. Math., Vol. 11 No. 2.

3. Adomian, G. (1988), Nonlinear Stochastic Systems Theory and Application to Physics, Kluwer, Dordrecht.

4. Adomian, G. (1994), Solving Frontier Problems of Physics: The Decomposition Method, Kluwer, Dordrecht.

5. Benabidallah, M. (2000), “Application de la méthode décompositionnelle à une classe d'équations differentielles avec conditions initiales”, Magister thesis, U.S.T.H.B, Alger, Algeria.

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