Numerical Simulation of One-Dimensional Shallow Water Equations

Abstract

In this study, a relatively new semi-analytic technique, the reduced differential transform method is employed to obtain high accurate solutions of the famous coupled partial differential equations with physical interests namely the variable-depth shallow water equations with source term. The solutions are calculated in the form of a convergent power series with easily computable components. The Reduced differential transform method is easy to apply, reduces the size of computations, and produces an approximate solution without any discretization or perturbation. The results show the accuracy and efficiency of the reduced differential transform method in comparison to other existing methods.