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

Kamel Al-Khaled; Fathi Allan

doi:10.1016/j.matcom.2004.03.005

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 journal › Article › peer-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 language	English
Pages (from-to)	479-486
Number of pages	8
Journal	Mathematics and Computers in Simulation
Volume	66
Issue number	6
DOIs	https://doi.org/10.1016/j.matcom.2004.03.005
Publication status	Published - Aug 12 2004
Externally published	Yes

Keywords

Conservation laws
Shallow watere quations
Soliton solutions
The Adomian decomposition method

ASJC Scopus subject areas

Theoretical Computer Science
General Computer Science
Numerical Analysis
Modelling and Simulation
Applied Mathematics

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10.1016/j.matcom.2004.03.005

Cite this

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title = "Construction of solutions for the shallow water equations by the decomposition method",

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 = "Conservation laws, Shallow watere quations, Soliton solutions, The Adomian decomposition method",

author = "Kamel Al-Khaled and Fathi Allan",

year = "2004",

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doi = "10.1016/j.matcom.2004.03.005",

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AU - Al-Khaled, Kamel

AU - Allan, Fathi

PY - 2004/8/12

Y1 - 2004/8/12

N2 - 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.

AB - 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.

KW - Conservation laws

KW - Shallow watere quations

KW - Soliton solutions

KW - The Adomian decomposition method

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M3 - Article

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SN - 0378-4754

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JO - Mathematics and Computers in Simulation

JF - Mathematics and Computers in Simulation

IS - 6

ER -

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

Abstract

Keywords

ASJC Scopus subject areas

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