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

Kamel Al-Khaled*, Fathi Allan

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

17 Citations (Scopus)

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.

Original languageEnglish
Pages (from-to)479-486
Number of pages8
JournalMathematics and Computers in Simulation
Volume66
Issue number6
DOIs
Publication statusPublished - Aug 12 2004
Externally publishedYes

Keywords

  • Conservation laws
  • Shallow watere quations
  • Soliton solutions
  • The Adomian decomposition method

ASJC Scopus subject areas

  • Theoretical Computer Science
  • Computer Science(all)
  • Numerical Analysis
  • Modelling and Simulation
  • Applied Mathematics

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