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

Kamel Al-Khaled, Fathi Allan

Research output: Contribution to journalArticle

15 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

Fingerprint

Shallow Water Equations
Decomposition Method
Decomposition
Adomian Decomposition Method
Source Terms
Power series
Water
Form

Keywords

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

ASJC Scopus subject areas

  • Information Systems and Management
  • Control and Systems Engineering
  • Applied Mathematics
  • Computational Mathematics
  • Modelling and Simulation

Cite this

Construction of solutions for the shallow water equations by the decomposition method. / Al-Khaled, Kamel; Allan, Fathi.

In: Mathematics and Computers in Simulation, Vol. 66, No. 6, 12.08.2004, p. 479-486.

Research output: Contribution to journalArticle

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