On the Relevance of a Variational Iteration Method for Solving the Shallow Water Equations

摘要

We solve the shallow water equations using a variational iteration method due to Ji-Huan He. Advantages and disadvantages of the method are investigated. Some reference solutions are used to assess the performance of the variational iteration method. Variational iteration solutions are mesh-free, which makes the computation easy at any point at any time. However, we must understand the validity of these solutions for large time values. The goal of this paper is to verify the validity of variational iteration solutions, when the method is used to solve the shallow water equations.