Construction of solutions for the shallow water equations by the decomposition method
This paper deals with the implementation of Adomian’s decomposition method for the variable-depth shallow water equations with source term. Using this method, the solutions were calculated in the form of a convergent power series with easily computable components. The convergence of the method is illustrated numerically.
Year of publication: |
2004
|
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Authors: | Al-Khaled, Kamel ; Allan, Fathi |
Published in: |
Mathematics and Computers in Simulation (MATCOM). - Elsevier, ISSN 0378-4754. - Vol. 66.2004, 6, p. 479-486
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Publisher: |
Elsevier |
Subject: | The Adomian decomposition method | Shallow watere quations | Soliton solutions | Conservation laws |
Saved in:
Online Resource
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