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The Decomposition Method for Ordinary Differential Equations

  • George Adomian
Chapter
Part of the Fundamental Theories of Physics book series (FTPH, volume 60)

Abstract

A critically important problem in frontier science and technology is the physically correct solution of nonlinear and/or stochastic systems modelled by differential or partial differential equations for general initial/boundary conditions.

Keywords

Decomposition Method Hypersonic Flow Nonlinear Stochastic System Nonlinear SchrOdinger Equation Stochastic Operator 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

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Suggested Reading

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    G. Adomian, R. E. Meyers, and R. Rach, An Efficient Methodology for the Physical Sciences, Kybernetes, 20, (24–34) (1991).Google Scholar
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    G. Adomian and R. Rach, Linear and Nonlinear Schrödinger Equations, Found. of Physics, 21, (983–991) (1991).Google Scholar
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    Y. Yang, Convergence of the Adomian Method and an Algorithm for Adomian Polynomials, submitted for publication.Google Scholar
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    K. Abbaoui and Y. Cherruault, Convergence of Adomian’s Method Applied to Differential Equations, Comput & Math. with Applic.,to appear.Google Scholar
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    B.K. Datta, Introduction to Partial Differential Equations, New Central Book Agency Ltd., Calcutta (1993).Google Scholar

Copyright information

© Springer Science+Business Media Dordrecht 1994

Authors and Affiliations

  • George Adomian
    • 1
  1. 1.General Analytics CorporationAthensUSA

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