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References (13)
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G. Adomian (1993)
Solving Frontier Problems of Physics: The Decomposition Method
- Publisher
- Emerald Publishing
- Copyright
- Copyright © 2002 MCB UP Ltd. All rights reserved.
- ISSN
- 0368-492X
- DOI
- 10.1108/03684920210428263
- Publisher site
- See Article on Publisher Site
Abstract
The Adomian decomposition method is used to implement the non‐linear Korteweg–de Vries equations. The analytic solution of the equation is calculated in the form of a convergent power series with easily computable components. The non‐homogeneous problem is quickly solved by observing the self‐cancelling “noise” terms whose sum vanishes in the limit. Comparing this methodology with some known techniques shows that the present approach is highly accurate.
Journal
Kybernetes – Emerald Publishing
Published: Jul 1, 2002
Keywords: Cybernetics; Decomposition method