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- W2427320192 abstract "In recent years, the variational iteration method has been applied to solve a number of problems in physics. The method is meshless, that is, domain discretisation is not needed in the iteration. If an explicit exact solution exists, the method is likely to converge rapidly. In contrast, if the exact solution of a considered problem cannot be written explicitly, the method will usually converge very slowly. In this paper, we consider the shallow water equations. These equations have wide applications in water modelling, but do not have a general exact solution. The variational iteration method has been successful to solve the shallow water equations for unsteady state cases. However, so far the method has not been tested to solve steady state cases with respect to the shallow water equations. Therefore, in this paper we present our research results of the variational iteration method to solve steady state problems of shallow water flows. We find that the method gives accurate solutions for steady state problems." @default.
- W2427320192 created "2016-06-24" @default.
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- W2427320192 date "2016-01-01" @default.
- W2427320192 modified "2023-09-23" @default.
- W2427320192 title "Variational iteration method used to solve steady state problems of shallow water flows" @default.
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- W2427320192 doi "https://doi.org/10.1063/1.4953982" @default.
- W2427320192 hasPublicationYear "2016" @default.
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