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

Authors:
Kamel Al-Khaled;Fathi Allan
Affiliations:
Department of Mathematics, UAE University, P.O. Box 17551, Al Ain, United Arab Emirates;Department of Mathematics, UAE University, P.O. Box 17551, Al Ain, United Arab Emirates
Venue:
Mathematics and Computers in Simulation
Year:
2004

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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.