Adomian decomposition method for systems of nonlinear differential equations: new formulae for obtaining Adomian polynomials in p dimensions

Kybernetes

ISSN: 0368-492X

Article publication date: 1 August 2005

128

Citation

(2005), "Adomian decomposition method for systems of nonlinear differential equations: new formulae for obtaining Adomian polynomials in p dimensions", Kybernetes, Vol. 34 No. 7/8. https://doi.org/10.1108/k.2005.06734gad.004

Publisher

:

Emerald Group Publishing Limited

Copyright © 2005, Emerald Group Publishing Limited


Adomian decomposition method for systems of nonlinear differential equations: new formulae for obtaining Adomian polynomials in p dimensions

Balira O. KonfeLaboratoire LANIBIO, Université de Ouagadougou, Ouagadougou, Burkina FasoLaboratoire MEDIMAT, Université Pierre et Marie CURIE – Paris VI, Paris, France

Titem Benneouala and Yves CherruaultLaboratoire MEDIMAT, Université Pierre et Marie CURIE – Paris VI, Paris, France

Blaise SomeLaboratoire LANIBIO, Université de Ouagadougou, Ouagadougou, Burkina Faso(2004)

This paper deals with the Adomian decomposition method applied to nonlinear functional equations systems. We first give a new formula for obtaining Adomian polynomials in the multidimensional case, then we propose a formal software allowing us to calculate these polynomials.

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