Construction of solutions for the shallow water equations by the decomposition method

Kamel Al-Khaled and Fathi Allan

Mathematics and Computers in Simulation (MATCOM), 2004, vol. 66, issue 6, 479-486

Abstract: 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.

Keywords: The Adomian decomposition method; Shallow watere quations; Soliton solutions; Conservation laws (search for similar items in EconPapers)
Date: 2004
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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:66:y:2004:i:6:p:479-486

DOI: 10.1016/j.matcom.2004.03.005

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